Relevant bibliographies by topics / Compact linear operator

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Compact linear operator'

Author: Grafiati
Published: 5 June 2025
Last updated: 1 August 2025

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Journal articles on the topic "Compact linear operator"

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Et al., Kider. "Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces." Baghdad Science Journal 16, no. 1 (2019): 0104. http://dx.doi.org/10.21123/bsj.2019.16.1.0104.

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In this paper the definition of fuzzy normed space is recalled and its basic properties. Then the definition of fuzzy compact operator from fuzzy normed space into another fuzzy normed space is introduced after that the proof of an operator is fuzzy compact if and only if the image of any fuzzy bounded sequence contains a convergent subsequence is given. At this point the basic properties of the vector space FC(V,U)of all fuzzy compact linear operators are investigated such as when U is complete and the sequence ( ) of fuzzy compact operators converges to an operator T then T must be fuzzy com
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Bracic, Janko. "Arens regularity andweakly compact operators." Filomat 32, no. 14 (2018): 4993–5002. http://dx.doi.org/10.2298/fil1814993b.

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We explore the relation between Arens regularity of a bilinear operator and the weak compactness of the related linear operators. Since every bilinear operator has natural factorization through the projective tensor product a special attention is given to Arens regularity of the tensor operator. We consider topological centers of a bilinear operator and we present a few results related to bilinear operators which can be approximated by linear operators.
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Gumenchuk, A., I. Krasikova, and M. Popov. "On linear sections of orthogonally additive operators." Matematychni Studii 58, no. 1 (2022): 94–102. http://dx.doi.org/10.30970/ms.58.1.94-102.

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Our first result asserts that, for linear regular operators acting from a Riesz space with the principal projection property to a Banach lattice with an order continuous norm, the $C$-compactness is equivalent to the $AM$-compactness. Next we prove that, under mild assumptions, every linear section of a $C$-compact orthogonally additive operator is $AM$-compact, and every linear section of a narrow orthogonally additive operator is narrow.
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Solikhin, Solikhin, Y. D. Sumanto, Susilo Hariyanto, and Abdul Aziz. "OPERATOR PADA RUANG FUNGSI TERINTEGRAL DUNFORD." Journal of Fundamental Mathematics and Applications (JFMA) 1, no. 2 (2018): 110. http://dx.doi.org/10.14710/jfma.v1i2.17.

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An integral Dunford and an operator on Dunford integrable functional space have discussed in this article. The results were shown that the Dunford integrable functional space was a linear function. For every Dunford integrable function on a closed interval, there is an operator that is linear bounded and weak compact operator, whereas its adjoin operator is also linear bounded and weak compact. An operator is weak compact if and only if its adjoin operator is weak compact. Furthermore, the norm of this operator was equal to the norm of its adjoin operator.
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Sah, Nagendra Pd. "About Riesz theory of compact operators." BIBECHANA 9 (December 10, 2012): 126–29. http://dx.doi.org/10.3126/bibechana.v9i0.7186.

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In this paper, it is shown that every compact operators are bounded and continuous. The bounded and continuous properties of an operator is sufficient for a Riesz operator. For mapping T: K-?I in normed linear space with some extended [1] properties, T becomes compact. DOI: http://dx.doi.org/10.3126/bibechana.v9i0.7186 BIBECHANA 9 (2013) 126-129
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Gok, Omer. "On regular operators on Banach lattices." Acta et commentationes: Ştiinţe Exacte şi ale Naturii 14, no. 2 (2023): 53–56. http://dx.doi.org/10.36120/2587-3644.v14i2.53-56.

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Let $E$ and $F$ be Banach lattices and $X$ and $Y$ be Banach spaces. A linear operator $T: E \rightarrow F$ is called regular if it is the difference of two positive operators. $L_{r}(E,F)$ denotes the vector space of all regular operators from $E$ into $F$. A continuous linear operator $T: E \rightarrow X$ is called $M$-weakly compact operator if for every disjoint bounded sequence $(x_{n})$ in $E$, we have $lim_{n \rightarrow\infty} \| Tx_{n} \| =0$. $W^{r}_{M}(E,F)$ denotes the regular $M$-weakly compact operators from $E$ into $F$. This paper is devoted to the study of regular operators an
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Keten Çopur, Ayşegül, and Ramazan İnal. "Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets." Journal of Advanced Research in Natural and Applied Sciences 10, no. 3 (2024): 530–41. http://dx.doi.org/10.28979/jarnas.1451630.

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The study introduces different categories of Lipschitz operators linked with weakly $p$-compact and unconditionally $p$-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and examines their interconnections. Additionally, it denotes that these classes are extensions of the related linear operators. Moreover, the study evaluates the concept of majorization by scrutinizing both newly obtained and pre-existing results and draws some conclusions based on these findings. The primary method used to obtain the results in the st
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Frank, Michael. "Characterizing C*-algebras of compact operators by generic categorical properties of Hilbert C*-modules." Journal of K-theory 2, no. 3 (2008): 453–62. http://dx.doi.org/10.1017/is008001031jkt035.

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AbstractC*-algebras A of compact operators are characterized as those C*-algebras of coefficients of Hilbert C*-modules for which (i) every bounded A-linear operator between two Hilbert A-modules possesses an adjoint operator, (ii) the kernels of all bounded A-linear operators between Hilbert A-modules are orthogonal summands, (iii) the images of all bounded A-linear operators with closed range between Hilbert A-modules are orthogonal summands, and (iv) for every Hilbert A-module every Hilbert A-submodule is a topological summand. Thus, the theory of Hilbert C*-modules over C*-algebras of comp
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Garbouj, Zied. "Some generalizations of ascent and descent for linear operators." Arabian Journal of Mathematics 10, no. 2 (2021): 367–93. http://dx.doi.org/10.1007/s40065-021-00328-y.

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AbstractThe purpose of this paper is to present in linear spaces some results for new notions called A-left (resp., A-right) ascent and A-left (resp., A-right) descent of linear operators (where A is a given operator) which generalize two important notions in operator theory: ascent and descent. Moreover, if A is a positive operator, we obtain several properties of ascent and descent of an operator in semi-Hilbertian spaces. Some basic properties and many results related to the ascent and descent for a linear operator on a linear space Kaashoek (Math Ann 172:105–115, 1967), Taylor (Math Ann 16
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Song, Xueli, and Jigen Peng. "On strong convex compactness property of spaces of nonlinear operators." Bulletin of the Australian Mathematical Society 74, no. 3 (2006): 411–18. http://dx.doi.org/10.1017/s0004972700040466.

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The strong convex compactness property is important for property persistence of operator semigroups under perturbations. It has been investigated in the linear setting. In this paper, we are concerned with the property in the nonlinear setting. We prove that the following spaces of (nonlinear) operators enjoy the strong convex compactness property: the space of compact operators, the space of completely continuous operators, the space of weakly compact operators, the space of conditionally weakly compact operators, the space of weakly completely continuous operators, the space of demicontinuou
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Dissertations / Theses on the topic "Compact linear operator"

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Jatobá, Ariosvaldo Marques. "Fatoração de operadores fracamente compactos entre espaços de Banach." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307333.

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Orientador: Jorge Tulio Mujica Ascui<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação<br>Made available in DSpace on 2018-08-04T19:54:16Z (GMT). No. of bitstreams: 1 Jatoba_AriosvaldoMarques_M.pdf: 1695585 bytes, checksum: 3e9af91b8444dc2cdb0bfefa05a23872 (MD5) Previous issue date: 2005<br>Resumo: Nosso primeiro objetivo é provar uma importante caracterização de conjuntos fracamente compactos em espaços de Banach, o Teorema de Eberlein-Smulian, que diz que um subconjunto K de um espaço de Banach é fracamente compacto se, e somen
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Hasan, Md Naimul. "A Compact Low Power Bio-Signal Amplifier with Extended Linear Operation Range." University of Akron / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=akron1358074945.

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Abbott, Catherine Ann. "Operators on Continuous Function Spaces and Weak Precompactness." Thesis, University of North Texas, 1988. https://digital.library.unt.edu/ark:/67531/metadc331171/.

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If T:C(H,X)-->Y is a bounded linear operator then there exists a unique weakly regular finitely additive set function m:-->L(X,Y**) so that T(f) = ∫Hfdm. In this paper, bounded linear operators on C(H,X) are studied in terms the measure given by this representation theorem. The first chapter provides a brief history of representation theorems of these classes of operators. In the second chapter the represenation theorem used in the remainder of the paper is presented. If T is a weakly compact operator on C(H,X) with representing measure m, then m(A) is a weakly compact operator for every Borel
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Hansmann, Marcel [Verfasser], Fritz [Gutachter] Gesztesy, Peter [Gutachter] Stollmann, and Christiane [Gutachter] Tretter. "Eigenvalues of compactly perturbed linear operators / Marcel Hansmann ; Gutachter: Fritz Gesztesy, Peter Stollmann, Christiane Tretter." Chemnitz : Technische Universität Chemnitz, 2018. http://d-nb.info/1214820794/34.

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Hofmann, B., and G. Fleischer. "Stability Rates for Linear Ill-Posed Problems with Convolution and Multiplication Operators." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800987.

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In this paper we deal with the `strength' of ill-posedness for ill-posed linear operator equations Ax = y in Hilbert spaces, where we distinguish according_to_M. Z. Nashed [15] the ill-posedness of type I if A is not compact, but we have R(A) 6= R(A) for the range R(A) of A; and the ill-posedness of type II for compact operators A: From our considerations it seems to follow that the problems with noncompact operators A are not in general `less' ill-posed than the problems with compact operators. We motivate this statement by comparing the approximation and stability behaviour of discrete leas
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Gosselin, Frédéric. "Modèles stochastiques d'extinction de population : propriétés mathématiques et leurs applications." Paris 6, 1997. http://www.theses.fr/1997PA066358.

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Des modeles d'extinction de population sont frequemment employes comme outils d'aide a la decision pour la gestion de populations animales ou vegetales menacees. Le but de cette these est de prouver des resultats mathematiques decrivant la maniere dont se passe l'extinction dans la plupart de ces modeles, et de les appliquer a quelques cas particuliers. Apres une revue bibliographique sur l'extinction de populations et les modeles utilises pour l'apprehender, je propose une serie de resultats mathematiques, pour la plupart asymptotiques, generalisant au cadre plus etendu des chaines de markov
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Santos, Dionicio Pastor Dallos. "Resultados de existência para alguns problemas não lineares com valores na fronteira de equações diferenciais." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-05122017-131906/.

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O principal objetivo deste trabalho é estudar a existência de soluções para alguns problemas de valores de contorno de equações diferenciais ordinárias não lineares em dimensão finita e infinita. Todos os sistemas considerados nesta investigação são transformados em equações funcionais nas quais o objetivo é encontrar um ponto fixo de um oportuno operador definido em um espaço de funções (que depende do problema estudado). Para isso, faremos uso do grau de Leray-Schauder e de um conceito de grau topológico, devido a R. Nussbaum, para perturbações não compactas da identidade em espaços de Banac
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Hansmann, Marcel. "Eigenvalues of compactly perturbed linear operators." 2018. https://monarch.qucosa.de/id/qucosa%3A23447.

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This cumulative habilitation thesis is concerned with eigenvalues of compactly perturbed operators in Banach and Hilbert spaces. A general theory for studying such eigenvalues is developed and applied to the study of some concrete operators of mathematical physics.
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Скрипник, Кирило Віталійович. "Дослідження властивостей компактних операторів у банахових просторах". Магістерська робота, 2020. https://dspace.znu.edu.ua/jspui/handle/12345/2559.

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Скрипник К. В. Дослідження властивостей компактних операторів у банахових просторах : кваліфікаційна робота магістра спеціальності 111 "Математика" / наук. керівник І. В. Красікова. Запоріжжя : ЗНУ, 2020. 50 с.<br>UA : Робота викладена на 50 сторінках друкованого тексту, містить 12 джерел. Об’єкт дослідження: компактні оператори у банахових просторах. Мета роботи: дослідити властивості компактних операторів у банахових просторах. Метод дослідження: аналітичний. У кваліфікаційній роботі досліджуються властивості компактних операторів, заданих у банахових просторах. Весь теоретичний матеріал про
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Books on the topic "Compact linear operator"

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Simon, Barry. Operator theory. American Mathematical Society, 2015.

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Representations Of Linear Operators Between Banach Spaces. Springer Basel, 2013.

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Edmunds, D. E., and W. D. Evans. Linear Operators in Banach Spaces. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0001.

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Three main themes run through this chapter: compact linear operators, measures of non-compactness, and Fredholm and semi-Fredholm maps. Connections are established between these themes so as to derive important results later in the book.
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Kaashoek, M. A., and T. T. West. Locally Compact Semi-Algebras: With Applications to Spectral Theory of Positive Operators. Elsevier Science & Technology Books, 2011.

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Edmunds, D. E., and W. D. Evans. Entropy Numbers, s-Numbers, and Eigenvalues. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0002.

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The geometric quantities entropy numbers, approximation numbers and n-widths are defined for compact linear maps, and connections with the analytic entities eigenvalues and essential spectra discussed. The celebrated inequality of Weyl between the approximation numbers and eigenvalues is established in the general context of Lorentz sequence spaces. Also included are an axiomatic approach to s-numbers, a discussion of non-compact maps, and the Schmidt decomposition theory for compact linear operators in Hilbert spaces.
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Kiefner, J. F., and E. B. Clark. History of Line Pipe Manufacturing in North America. ASME, 1996. http://dx.doi.org/10.1115/1.812334.

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This report was prepared as an account of work sponsored through the American Society of Mechanical Engineers Center for Research and Technology Development by Columbia Gas Transmission Corporation, El Paso Natural Gas Company, Gas Research Institute, Research Committee on Gas Pipelines Safety, and Washington Gas and Electric Company. This document’s purpose is to provide pipeline operators with historical data on line pipe, so that they will be able to operate their pipelines, particularly the older ones, with greater confidence in their safety and reliability. The document is comprised of fo
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Rayney's Tax Planning for Family and Owner-Managed Businesses 2023/24. Bloomsbury Publishing Plc, 2023. http://dx.doi.org/10.5040/9781526527936.

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Rayney's Tax Planning for Owner-Managed Businesses provides authoritative and clearly written guidance on all aspects of tax planning that impact on the operation of OMBs in the UK from running the business in a tax-efficient way to succession planning. The commentary will be updated in line with the provisions of Finance Act 2023, recent relevant case decisions and new guidance issues by HMRC. The commentary draws heavily on the many years of experience Peter Rayney has had, advising companies of many sizes on their tax strategies. It is back up with the inclusion of numerous worked examples
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Murphy, Patrick D. Battle of the Blogosphere. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252041037.003.0005.

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This chapter examines how the multinational agricultural biotechnology corporation Monsanto has attempted to re-brand itself from a chemical company to a food company through the elaboration of a highly interlaced, multi-platform on-line media strategy. This image enhancement operation is a response to its many critics—from citizen-based groups in India and Mexico to prominent food security activists like Michael Pollan and Vandana Shiva. At the center of analysis is how Monsanto has used the trope of “sustainability” to craft a proactive profile that is responsive to the challenges that the p
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Boyce, Gordon. The Growth and Dissolution of a Large-Scale Business Enterprise. Liverpool University Press, 2012. http://dx.doi.org/10.5949/liverpool/9780986497391.001.0001.

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This book is an in-depth case study of the Furness Withy and Co Shipping Group, which operated both tramp and liner services and was one of the five major British shipping groups of the early twentieth century. It demonstrates how British shipowners of this period generated success by exploring Christopher Furness’ career in relation to the social, political, and cultural currents during a time of tremendous shipping growth in Britain and the establishment of some of the largest shipping firms in the world. It approaches the study from three angles. The first analyses how the Furness Group exp
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Ife, Mark. Employee Share Schemes. 9th ed. Bloomsbury Publishing Plc, 2024. http://dx.doi.org/10.5040/9781526528575.

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Employee Share Schemes provides a comprehensive examination of the taxation, legal and compliance issues concerning the acquisition of shares by employees in their employer company, whether public or private. Employees’ share schemes remain one of the most popular forms of rewarding and incentivising a company’s employees. The Government continues to believe that productivity will be increased by encouraging employee participation, which is evidenced by its commitment to public sector ‘mutualisations’ and, in the private sector, through such increased participation in employee share plans. Wit
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Book chapters on the topic "Compact linear operator"

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Jeribi, Aref. "Fredholm Operators and Riesz Theory for Polynomially Compact Operators." In Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17566-9_3.

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Okada, Susumu. "Does a compact operator admit a maximal domain for its compact linear extension?" In Vector Measures, Integration and Related Topics. Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-0346-0211-2_28.

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Clason, Christian. "Linear Operators." In Compact Textbooks in Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52784-6_4.

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Brown, Robert F. "Compact Linear Operators." In A Topological Introduction to Nonlinear Analysis. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8124-1_15.

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Brown, Robert F. "Compact Linear Operators." In A Topological Introduction to Nonlinear Analysis. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4757-1209-4_12.

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Brown, Robert F. "Compact Linear Operators." In A Topological Introduction to Nonlinear Analysis. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11794-2_20.

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Kress, Rainer. "Bounded and Compact Operators." In Linear Integral Equations. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0559-3_2.

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Kress, Rainer. "Bounded and Compact Operators." In Linear Integral Equations. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-9593-2_2.

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Kress, Rainer. "Bounded and Compact Operators." In Linear Integral Equations. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-97146-4_2.

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Krichen, Bilel. "Closed, Bounded, Compact and Weakly Compact Operators." In Spectral Theory for Linear Operators. Chapman and Hall/CRC, 2025. https://doi.org/10.1201/9781003566847-2.

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Conference papers on the topic "Compact linear operator"

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Arici, Mehmet, Wachira Daosud, Jozef Vargan, and Miroslav Fikar. "Multi-Model Predictive Control of a Distillation Column." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.180258.

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Successful implementation of optimization-driven control techniques, such as model predictive control (MPC), is highly dependent on an accurate and detailed model of the process. As complexity in the system increases, linear approximation used in MPC may result in poor performance since a critical operating point is valid in only a small neighborhood of operation. To address this problem, this paper proposes a collaborative approach that combines linear and data-based models to predict state variables individually. The outputs of these models, along with constraints, are then incorporated into
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Keller, James, Christopher Colosi, and Gregory Nichols. "Achieving High Performance Aircraft Modeling in Operational Analysis Software using a Minimum Complexity Model." In Vertical Flight Society 74th Annual Forum & Technology Display. The Vertical Flight Society, 2018. http://dx.doi.org/10.4050/f-0074-2018-12829.

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Operational analysis programs are a common tool used by operators to simulate the mission outcomes as a means to estimate mission requirements for both rotary wing and fixed wing aircraft. Operational analysis programs are more commonly referred to as "war games". Mission simulations take into account battlefield topography, atmospheric conditions, aircraft capabilities, and potential threats. The outcomes of these simulations aid operators in decisions such as the number of aircraft to be deployed on a particular mission, what type of aircraft to utilize, as well as the overall risk of the mi
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Yeo, Derrick, John Gerdes, Elena Shrestha, Jean-Paul Reddinger, and Matthew Floros. "A Data-Driven Approach to Onboard Aerodynamic Sensing and Estimation for Tailsitter UAVs." In Vertical Flight Society 80th Annual Forum & Technology Display. The Vertical Flight Society, 2024. http://dx.doi.org/10.4050/f-0080-2024-1334.

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Tailsitter configurations that operate in both fixed and rotary wing flight modes are typically capable of generating large control forces and moments, making them inherently capable of rapid transitions and aggressive maneuvers. However, harnessing these capabilities requires feedback control strategies that can effectively estimate the non-linear aerodynamics loads involved to successfully exploit them. This paper describes initial steps in combining an onboard flow sensing strategy with a data-driven approach to estimating inflight air loads. A neural network is trained to use measurements
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Ali, Mohammed, and Ali Al-Beed. "Titanium Ribbon Anode Grid Type Cathodic Protection System for above Ground Storage Tank Bottoms with Double Containment - A Case Study." In CORROSION 1999. NACE International, 1999. https://doi.org/10.5006/c1999-99289.

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Abstract Due to the recent regulatory requirements of using double containment for hazardous liquid storage tanks, grid type impressed current cathodic protection systems for the protection of bottom undersides, are a relatively new phenomenon. Design details of such a system is discussed and the problems encountered during the commissioning and operation of the system for a large tank farm in our company are described. Trouble-shooting and testing methodology including failed reference electrodes, “IR” drop error in potential measurements and imbalance in current and potential distribution wi
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Yagola, Anatoly G., and Yury M. Korolev. "Error Estimations in Linear Inverse Problems With a Priori Information." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47799.

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We consider an inverse problem for an operator equation Az = u. The exact operator A and the exact right-hand side u are unknown. Only their upper and lower estimations are available. We provide techniques of calculating upper and lower estimations for the exact solution belonging to a compact set in this case, as well as a posteriori error estimations. We obtain approximate solutions with an optimal a posteriori error estimate. We also make use of a priori information about the exact solution, e.g. its monotonicity and convexity. The developed software package was applied to solving practical
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Buryachenko, Valeriy A. "Peridynamic Micromechanics of Composites: Opportunities and Prospects." In ASME 2023 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/imece2023-112840.

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Abstract Due to the identical operator form of the linear general integral equation (GIE) proposed for both local micromechanics (LM) and peridynamic micromechanics (PM) of composite materials (CM), the methods of LM have easily recast into the following PM methods: • Fast Fourier transform (FFT) method, • Transformation field analysis (TFA), • Estimation of effective energy-based criteria, • Effective behavior of CM due to the body force with a compact support, • Laminate theory.
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Balas, Mark J. "Augmentation of Fixed Gain Controlled Infinite Dimensional Systems With Direct Adaptive Control." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23179.

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Abstract Linear infinite dimensional systems are described by a closed, densely defined linear operator that generates a continuous semigroup of bounded operators on a general Hilbert space of states and are controlled via a finite number of actuators and sensors. Many distributed applications are included in this formulation, such as large flexible aerospace structures, adaptive optics, diffusion reactions, smart electric power grids, and quantum information systems. In this paper, we focus on infinite dimensional linear systems for which a fixed gain linear infinite or finite dimensional con
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Brodsky, Vladimir, and Moshe Shoham. "Explicit Algorithm for Robot Manipulator Dual Dynamics." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dac-4316.

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Abstract Kinematicians have used dual numbers to obtain rigid body kinematics in a compact three-dimensional form by substituting dual for real numbers in the equation of rotational motion. No such simple relation, known as ‘principle of transference’, existed however, for dynamics. The commonly used inertia binor by which dual momentum is calculated, raises the dual dynamic equations to six dimensions. In fact, the inertia binor does not act on the dual vector as a whole, but rather on its real and dual parts as two distinct real vectors. The recently introduced dual mass operator can serve a
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Deshmukh, Venkatesh. "Stability Analysis and Computation of Solutions of Nonlinear Delay Differential Algebraic Equations With Time Periodic Coefficients." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35263.

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Stability theory of Nonlinear Delay Differential Algebraic Equations (DDAE) with periodic coefficients is proposed with a geometric interpretation of the evolution of the linearized system. First, a numerical algorithm based on direct integration by expansion in terms of Chebyshev polynomials is derived for linear analysis. The proposed algorithm is shown to have deeper connections with and computationally less cumbersome than the solution of the underlying semi-explicit system via a similarity transformation. The stability of time periodic DDAE systems is characterized by the spectral radius
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Buryachenko, Valeriy A. "Effective Behavior of Peridynamic Random Structure Composites Subjected to Body Force With Compact Support." In ASME 2022 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/imece2022-95107.

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Abstract We consider a static problem for statistically homogeneous matrix linear bond-based peridynamic composite materials (CMs). Even for locally elastic composites subjected to inhomogeneous loading, the effective deformations are described by a nonlocal (either the differential or integral) operator relating a statistical average of stresses in the point being considered with a statistical average of strains in the vicinity of this point. The basic hypotheses of locally elastic micromechanics are generalized to their peridynamic counterparts (see for details [1]). The method is based on e
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Reports on the topic "Compact linear operator"

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Lynk, John. PR-610-163756-WEB Material Strength Verification. Pipeline Research Council International, Inc. (PRCI), 2019. http://dx.doi.org/10.55274/r0011573.

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DATE: Tuesday, April 30, 2019 TIME: 11:00 a.m. ET CLICK THE DOWNLOAD/BUY BUTTON TO ACCESS THE WEBINAR REGISTRATION LINK Join the PRCI Integrity and Inspection technical committee for a pipeline operator driven discussion regarding PRCI research related to non-destructive technologies for the purpose of pipe material verification and how operators have applied this research in the field. This webinar will include; research project overview, operator case studies and analysis of current technology gaps. Panelists: Mark Piazza, Manager Pipeline Compliance and R and D, Colonial Pipeline Company Mi
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Kiefner and Kolovich. PR-218-113605-R01 Evaluation of Regulatory Proposal for Responding to Pipeline Corrosion Metal Loss. Pipeline Research Council International, Inc. (PRCI), 2013. http://dx.doi.org/10.55274/r0010783.

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This report assesses the appropriateness of a regulatory proposal by the Pipeline and Hazardous Materials Safety Administration (PHMSA) for response criteria for corrosion anomalies detected by in-line inspection in non-high-consequence areas (non-HCAs). The proposed response criteria are stricter than those that pipeline operators are currently required to use for anomalies detected in high-consequence areas (HCAs). Presented herein are the results of an evaluation of the technical basis for response criteria for metal-loss anomalies detected by in-line inspection. The evaluation considered u
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Ayers, Dotson, and Alexander. L52332 Offshore Pipeline Damage Emergency Response Guidelines. Pipeline Research Council International, Inc. (PRCI), 2012. http://dx.doi.org/10.55274/r0010016.

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Subsea pipelines and flow lines are periodically subjected to damaging events such as anchor impacts that result in massive pipeline movements, dropped object damage, internal/external corrosion damage, etc. Knowing how to assess these damage events is often challenging, especially considering the potential for product release. The cost of production shut-ins can be significant and avoiding un-necessary shut-ins is desirable. While most pipeline operators have company-level procedures and programs in place for responding to pipeline emergencies, at the current time there is no single resource
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Skow, Jason. PR676-233801-R01 The State of the Art Pipeline Risk Assessment for Crack Management. Pipeline Research Council International, Inc. (PRCI), 2025. https://doi.org/10.55274/r0000105.

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Pipeline Research Council International Inc. (PRCI)'s Crack Management SRP has identified that circumferential cracking is a challenge for pipeline operating companies. The objective of this work was to create a framework to identify, assess and mitigate the risk due to circumferential cracking threats. Susceptibility to failure from circumferential cracking is linked to (1) circumfer-ential cracks subject to increasing axial or bending strains, or (2) growth in circumferential cracks at locations of residual strain. This project focusses on the first. No single inline inspection (ILI) technol
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Lubowa, Nasser, Zita Ekeocha, Stephen Robert Byrn, and Kari L. Clase. Pharmaceutical Industry in Uganda: A Review of the Common GMP Non-conformances during Regulatory Inspections. Purdue University, 2021. http://dx.doi.org/10.5703/1288284317442.

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The prevalence of substandard medicines in Africa is high but not well documented. Low and Middle-Income Countries (LMICs) are likely to face considerable challenges with substandard medications. Africa faces inadequate drug regulatory practices, and in general, compliance with Good Manufacturing Practices (GMP) in most of the pharmaceutical industries is lacking. The majority of pharmaceutical manufacturers in developing countries are often overwhelmed by the GMP requirements and therefore are unable to operate in line with internationally acceptable standards. Non-conformances observed durin
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Kodupuganti, Swapneel R., Sonu Mathew, and Srinivas S. Pulugurtha. Modeling Operational Performance of Urban Roads with Heterogeneous Traffic Conditions. Mineta Transportation Institute, 2021. http://dx.doi.org/10.31979/mti.2021.1802.

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The rapid growth in population and related demand for travel during the past few decades has had a catalytic effect on traffic congestion, air quality, and safety in many urban areas. Transportation managers and planners have planned for new facilities to cater to the needs of users of alternative modes of transportation (e.g., public transportation, walking, and bicycling) over the next decade. However, there are no widely accepted methods, nor there is enough evidence to justify whether such plans are instrumental in improving mobility of the transportation system. Therefore, this project re
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Salter and Weston. L51534 A Study of New Joining Processes for Pipelines. Pipeline Research Council International, Inc. (PRCI), 1987. http://dx.doi.org/10.55274/r0010083.

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Over many decades it has been accepted that the most economical way to produce a pipeline is to join together the standard lengths of pipe as quickly as possible, using a highly mobile task force of welders and other technicians, leaving tie-ins, crossings, etc. to smaller specialist crews. The work pattern which evolved almost invariably involved several crews of welders strung out along the pipelines, progress being controlled by the rate at which the leading pair could complete the weld root. The spread from this first crew to final inspection could be a considerable distance, acceptable on
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Ukiwe and McDonnell. L52362 Assessing the Performance of Above Ground Coating Evaluation Surveys. Pipeline Research Council International, Inc. (PRCI), 2012. http://dx.doi.org/10.55274/r0010686.

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The primary application area for above ground coating evaluation (AGCES) methods is for unpiggable pipelines. For several reasons, however, AGCES methods are not necessarily limited along these narrow lines. For instance, most ILI tools are incapable of identifying external corrosion (which resulted from coating damage overtime) until the wall loss damage has reached the measurable detection threshold of the ILI tool. Thus, even for piggable pipelines, AGCES methods still come in handy for pipeline integrity. In fact, the most proactive approach for pipeline corrosion integrity management for
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Veung, Naron, and Seyhah Ven. Exploring Insights into Vocational Skills Development and Industrial Transformation in Cambodia. Cambodia Development Resource Institute, 2021. https://doi.org/10.64202/wp.131.202110.

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Industrial development is central to Cambodia’s economic development as it plans to upgrade the country’s status to an upper-middle-income country by 2030 and to a high-income country by 2050. Equipping the workforce with the skills and competencies that match industrial needs requires a great deal of continuous efforts and resources. In this regard, this paper aims to look into the linkage between skills and transformation based on employers’ perspectives. It explores insights into how companies perceive and use the skills and qualifications of their employees to overcome changes in technolog
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L51717 Pipeline In-Service Relocation Engineering Manual. Pipeline Research Council International, Inc. (PRCI), 1994. http://dx.doi.org/10.55274/r0010116.

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~~The practice of "relocation" of a pipeline while "in-service" increases the longitudinal stresses in the relocated section of pipeline which may result in pipeline failures. On October 22, 1991, the DOT Office of Pipeline Safety (OPS) issued an "Alert Notice" to US Pipeline operators urging them to conduct analyses prior to moving a pipeline, regardless of whether the line is in-service during the operation or not; to determine the extent to which a pipeline may be safely moved, considering the material toughness as a factor; and specific procedures for the operation. An incident associated
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