Academic literature on the topic 'Bounded linear operator'

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Journal articles on the topic "Bounded linear operator"

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Kudryashov, Yu L. "Dilatations of Linear Operators." Contemporary Mathematics. Fundamental Directions 66, no. 2 (2020): 209–20. http://dx.doi.org/10.22363/2413-3639-2020-66-2-209-220.

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The article is devoted to building various dilatations of linear operators. The explicit construction of a unitary dilation of a compression operator is considered. Then the J -unitary dilatation of a bounded operator is constructed by means of the operator knot concept of a bounded linear operator. Using the Pavlov method, we construct the self-adjoint dilatation of a bounded dissipative operator. We consider spectral and translational representations of the self-adjoint dilatation of a densely defined dissipative operator with nonempty set of regular points. Using the concept of an operator
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Akrym, Abdellah, Abdeslam El Bakkali, and Abdelkhalek Faouzi. "Ergodicity for a family of operators." Boletim da Sociedade Paranaense de Matemática 42 (May 8, 2024): 1–11. http://dx.doi.org/10.5269/bspm.63556.

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The aim of this paper is to introduce the notions of power boundedness, Cesàro boundedness, mean ergodicity, and uniform ergodicity for a family of bounded linear operators on a Banach space. The authors present some elementary results in this setting and show that some main results about power bounded, Cesàro bounded, mean ergodic, and the uniform ergodic operator can be extended from the case of a linear bounded operator to the case of a family of bounded linear operators acting on a Banach space. Also, we show that the Yosida theorem can be extended from the case of a bounded linear operato
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Ettayb, Jawad. "(N, ε)-pseudospectra of bounded linear operators on ultrametric Banach spaces". Gulf Journal of Mathematics 17, № 1 (2024): 12–28. http://dx.doi.org/10.56947/gjom.v17i1.1665.

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In this paper, we prove that the essential pseudospectrum of bounded linear operator pencils is invariant under perturbation of completely continuous linear operators on ultrametric Banach spaces over a spherically complete field K and we establish a characterization of the essential pseudospectrum of a bounded linear operator pencils by means of the spectra of all perturbed completely continuous operators. Furthermore, we introduce and study the notion of (n,ε)-pseudospectrum of bounded linear operators and the concept of (n,ε)-pseudospectrum of bounded linear operator pencils on ultrametric
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Nakasho, Kazuhisa, Yuichi Futa, and Yasunari Shidama. "Continuity of Bounded Linear Operators on Normed Linear Spaces." Formalized Mathematics 26, no. 3 (2018): 231–37. http://dx.doi.org/10.2478/forma-2018-0021.

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Summary In this article, using the Mizar system [1], [2], we discuss the continuity of bounded linear operators on normed linear spaces. In the first section, it is discussed that bounded linear operators on normed linear spaces are uniformly continuous and Lipschitz continuous. Especially, a bounded linear operator on the dense subset of a complete normed linear space has a unique natural extension over the whole space. In the next section, several basic currying properties are formalized. In the last section, we formalized that continuity of bilinear operator is equivalent to both Lipschitz
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Al-Muttalibi, Rana, and Radhi M.A Ali. "Certain types of linear operators on probabilistic Hilbert space." Global Journal of Mathematical Analysis 3, no. 2 (2015): 81. http://dx.doi.org/10.14419/gjma.v3i2.4664.

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<p>The purpose of this paper is to introduce some definitions, properties and basic results that show the relation between F-bounded of linear operator in probabilistic Hilbert space and bounded operator in norm. In the paper, we prove that the adjoint operator in probabilistic Hilbert space is bounded. The notion of the continuous operators in probabilistic Hilbert space and some basic results are given. In addition, we note that every operator in probabilistic real Hilbert space is a self-adjoint Operator.</p>
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Kipruto, Maureen, Achiles Nyongesa Simiyu, and Aldrin Wanambisi Wekesa. "On the exponential and approximate point spectrum of a bounded linear operator in Banach spaces." African Scientific Annual Review 2, no. 1 (2025): 6–23. https://doi.org/10.51867/asarev.maths.2.1.2.

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This paper investigates the exponential and approximate point spectrum of a bounded linear operator in Banach spaces. We define the operator exp(T) for a bounded linear operator T in a Banach space X and determine if exp(T) is invertible. We show that if S is a bounded linear operator in X and S commutes with T then exp(S + T) equals exp(T).exp(S). If H is a Hilbert space and T is a bounded linear operator in H which is normal such that T commutes with a bounded linear operator S in H, then S commutes with the adjoint of T. The converse of this statement holds. For a bounded linear operator A
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Dixmier, Jacques. "Operateurs hypofermes." Journal of Operator Theory 91, no. 2 (2024): 323–33. https://doi.org/10.7900/jot.2023nov13.2451.

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Range spaces of bounded linear operators between Hilbert spaces, as well as linear operators between Hilbert spaces, whose graph is a bounded linear range of some Hilbert space, were systematically studied in an early paper. Here extensions of the above topics to the framework of general Banach spaces are discussed. A hypoclosed linear subspace of a Banach space is the range space of a bounded linear operator defined on some Banach space, while a hypoclosed linear operator is a linear operator between Banach spaces, whose graph is hypoclosed. Characterizations, permanence properties, pathologi
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Mohsen, Salim Dawood, and Hanan Khalid Mousa. "Another Results Related of Fuzzy Soft Quasi Normal Operator in Fuzzy Soft Hilbert Space." Journal of Physics: Conference Series 2322, no. 1 (2022): 012050. http://dx.doi.org/10.1088/1742-6596/2322/1/012050.

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Abstract The goal of this paper, is to introduce another classes of the fuzzy soft bounded linear operator in the fuzzy soft Hilbert space which is a fuzzy soft quasi normal operator, as well as, give some properties about this concept with investigating the relationship among this types of the fuzzy soft bounded linear operator on fuzzy soft Hilbert space with other kinds of fuzzy soft bounded linear operators.
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Djolović, Ivana, Katarina Petković, and Eberhard Malkowsky. "Matrix mappings and general bounded linear operators on the space bv." Mathematica Slovaca 68, no. 2 (2018): 405–14. http://dx.doi.org/10.1515/ms-2017-0111.

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Abstract If X and Y are FK spaces, then every infinite matrix A ∈ (X, Y) defines a bounded linear operator LA ∈ B(X, Y) where LA(x) = Ax for each x ∈ X. But the converse is not always true. Indeed, if L is a general bounded linear operator from X to Y, that is, L ∈ B(X, Y), we are interested in the representation of such an operator using some infinite matrices. In this paper we establish the representations of the general bounded linear operators from the space bv into the spaces ℓ∞, c and c0. We also prove some estimates for their Hausdorff measures of noncompactness. In this way we show the
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Mehd, Sadiq A., Salim Dawood Mohsen, and Mohammed J. Fari. "Properties (RB) and (gRB) for Bounded Linear Operators." Journal of Physics: Conference Series 2322, no. 1 (2022): 012053. http://dx.doi.org/10.1088/1742-6596/2322/1/012053.

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Abstract In this article, we consider pseudo invertible operators for study of the relationship between the space of relatively regular operators and some generalizations of Weyl and Browder theorems. By using the analysis and representation of pseudo invertible operators, some new properties in connection with Browder’s type theorems, were presented for bounded linear operators T ∈ B(X). These properties, which we refer to as property (RB), imply that All poles of the resolvent of T of finite rank in the typical spectrum are precisely those places of the spectrum for which a reasonably regula
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Dissertations / Theses on the topic "Bounded linear operator"

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Turcu, George R. "Hypercyclic Extensions Of Bounded Linear Operators." Bowling Green State University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1386189984.

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Bahreini, Esfahani Manijeh. "Complemented Subspaces of Bounded Linear Operators." Thesis, University of North Texas, 2003. https://digital.library.unt.edu/ark:/67531/metadc4349/.

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For many years mathematicians have been interested in the problem of whether an operator ideal is complemented in the space of all bounded linear operators. In this dissertation the complementation of various classes of operators in the space of all bounded linear operators is considered. This paper begins with a preliminary discussion of linear bounded operators as well as operator ideals. Let L(X, Y ) be a Banach space of all bounded linear operator between Banach spaces X and Y , K(X, Y ) be the space of all compact operators, and W(X, Y ) be the space of all weakly compact operators. We d
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O'Connor, B. J. "State diagrams for bounded and unbounded linear operators." Master's thesis, University of Cape Town, 1990. http://hdl.handle.net/11427/18245.

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Bibliography: pages 107-110.<br>The theme of this thesis is the construction of state diagrams and their implications. The author generalises most of the theorems in Chapter II of Goldberg [Gl] by dropping the assumption that the doin.ain of the operator is dense in X . The author also presents the standard Taylor-Halberg-Goldberg state diagrams [Gl, 61, 66]. Chapters II and III deal with F₊- and F₋-operators, which are generalisations of the ф₊- and ф₋-operators in Banach spaces of Gokhberg-Krein [GK]. Examples are given of F₊- and F₋-operators. Also, in Chapter III, the main theorems needed
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Li, Xiaochun. "Uniform bounds for the bilinear Hilbert transforms /." free to MU campus, to others for purchase, 2001. http://wwwlib.umi.com/cr/mo/fullcit?p3025634.

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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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Ghassel, Ali. "The radon split of radially acting linear integral operators on h¦2 with uniformly bounded double norms." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/MQ48521.pdf.

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Ugur, Omur. "Boundary Value Problems For Higher Order Linear Impulsive Differential Equations." Phd thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/686691/index.pdf.

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_I The theory of impulsive di&reg<br>erential equations has become an important area of research in recent years. Linear equations, meanwhile, are fundamental in most branches of applied mathematics, science, and technology. The theory of higher order linear impulsive equations, however, has not been studied as much as the cor- responding theory of ordinary di&reg<br>erential equations. In this work, higher order linear impulsive equations at &macr<br>xed moments of impulses together with certain boundary conditions are investigated by making use of a Green&#039<br>s formula, constructed for p
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Hernandez, Michelle Fernanda Pierri. "Funções s-assintoticamente periódicas em espaços de Banach e aplicações à equações diferenciais funcionais." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-19052009-161255/.

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Este trabalho está voltado para o estudo de uma classe de funções contínuas e limitadas f : [0; \'INFINITO\') \'SETA\' X para as quais existe \'omega\' \'> OU =\' 0 tal que \'lim IND. t\' \'SETA\' \'INFINITO\' (f(t + \'omega\') - f(t)) = 0. No decorrer do trabalho, chamaremos estas funções de S-assintoticamente \'omega\'-periódicas. Nós discutiremos propriedades qualitativas para estas funções e algumas relações entre este tipo de funções e a classe de funções assintoticamente \'omega\'-periódicas. Também estudaremos a existência de soluções fracas S-assintoticamente \'omega\'-periódicas para
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Ferroni, Nicola. "Exact Combinatorial Optimization with Graph Convolutional Neural Networks." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/17502/.

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Combinatorial optimization problems are typically tackled by the branch-and-bound paradigm. We propose to learn a variable selection policy for branch-and-bound in mixed-integer linear programming, by imitation learning on a diversified variant of the strong branching expert rule. We encode states as bipartite graphs and parameterize the policy as a graph convolutional neural network. Experiments on a series of synthetic problems demonstrate that our approach produces policies that can improve upon expert-designed branching rules on large problems, and generalize to instances significantly lar
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Ware, Griffith Kuskie. "Uniqueness of norm properties of Calkin Algebras." Phd thesis, 2014. http://hdl.handle.net/1885/14510.

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A classical result due to M. Eidelheit and B. Yood states that the standard algebra norm on the algebra of bounded linear operators on a Banach space is minimal, in the sense that the norm must be less than a multiple of any other submultiplicative norm on the same algebra. This de nition does not assume that the arbitrary algebra norm is complete. In cases when the standard algebra norm is, in addition, maximal, it is therefore unique up to equivalence. More recently, M. Meyer showed that the Calkin algebras of a very restricted class of Banach spaces also have unique algebra norms. W
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Books on the topic "Bounded linear operator"

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Kubrusly, Carlos S. Spectral Theory of Bounded Linear Operators. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-33149-8.

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Harte, Robin. Invertibility and singularity for bounded linear operators. M. Dekker, 1988.

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Dragomir, Silvestru Sever. Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-17459-0.

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Pisier, Gilles. Similarity problems and completely bounded maps. 2nd ed. Springer, 2001.

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Christensen, Jens Gerlach. Trends in harmonic analysis and its applications: AMS special session on harmonic analysis and its applications : March 29-30, 2014, University of Maryland, Baltimore County, Baltimore, MD. American Mathematical Society, 2015.

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Beltita, Daniel, and Mihai Sabac. Lie Algebras of Bounded Operators (Operator Theory, Advances and Applications, Vol 120). Birkhauser, 2000.

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Beltita, Daniel, and Mihai Sabac. Lie Algebras and Bounded Operators. Birkhauser, 2001.

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Beltita, Daniel. Lie Algebras of Bounded Operators. Springer, 2012.

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Kubrusly, Carlos S. Spectral Theory of Bounded Linear Operators. Birkhäuser, 2020.

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Kubrusly, Carlos S. Spectral Theory of Bounded Linear Operators. Springer International Publishing AG, 2021.

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Book chapters on the topic "Bounded linear operator"

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Brayman, Volodymyr, Andrii Chaikovskyi, Oleksii Konstantinov, Alexander Kukush, Yuliya Mishura, and Oleksii Nesterenko. "Bounded Linear Operators." In Functional Analysis and Operator Theory. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-56427-7_6.

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Gohberg, Israel, and Seymour Goldberg. "Bounded Linear Operators on Hilbert Spaces." In Basic Operator Theory. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-5985-5_2.

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Mortad, Mohammed Hichem. "Basic Classes of Bounded Linear Operators." In Counterexamples in Operator Theory. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-97814-3_2.

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Kubrusly, Carlos S. "Spectrum of an Operator." In Spectral Theory of Bounded Linear Operators. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-33149-8_2.

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Seifert, Christian, Sascha Trostorff, and Marcus Waurick. "Non-Autonomous Evolutionary Equations." In Evolutionary Equations. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-89397-2_16.

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AbstractPreviously, we focussed on evolutionary equations of the form $$\displaystyle \left (\overline {\partial _{t,\nu }M(\partial _{t,\nu })+A}\right )U=F. $$ ∂ t , ν M ( ∂ t , ν ) + A ¯ U = F . In this chapter, where we turn back to well-posedness issues, we replace the material law operator M(∂t,ν), which is invariant under translations in time, by an operator of the form $$\displaystyle \mathcal {M}+\partial _{t,\nu }^{-1}\mathcal {N}, $$ ℳ + ∂ t , ν − 1 N , where both $$\mathcal {M}$$ ℳ and $$\mathcal {N}$$ N are bounded linear operators in $$L_{2,\nu }(\mathbb {R};H)$$ L 2 , ν ( ℝ ; H
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Blanchard, Philippe, and Erwin Brüning. "Bounded Linear Operators." In Mathematical Methods in Physics. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0049-9_21.

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Blanchard, Philippe, and Erwin Brüning. "Bounded Linear Operators." In Mathematical Methods in Physics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14045-2_22.

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Eidelman, Yuli, Vitali Milman, and Antonis Tsolomitis. "Bounded linear operators." In Graduate Studies in Mathematics. American Mathematical Society, 2004. http://dx.doi.org/10.1090/gsm/066/04.

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Zhu, Kehe. "Bounded linear operators." In Mathematical Surveys and Monographs. American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/138/01.

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Wong, M. W. "Bounded Linear Operators." In Discrete Fourier Analysis. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0116-4_15.

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Conference papers on the topic "Bounded linear operator"

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Munjal, Alka, Jasvir Kaur, Ruchi Singh Rajawat, Suresh Kumar Sahani, and Vishnu Narayan Mishra. "Application of bounded linear operator on a sequence space." In INTERNATIONAL CONFERENCE ON ADVANCED AND APPLIED MATHEMATICAL SCIENCES (ICAAMS2022). AIP Publishing, 2024. https://doi.org/10.1063/5.0210574.

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"A linear inhomogeneous equation with a Hilfer derivative and a bounded operator." In Уфимская осенняя математическая школа - 2022. 2 часть. Baskir State University, 2022. http://dx.doi.org/10.33184/mnkuomsh2t-2022-09-28.55.

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Al - Qabani, Aamena. "Spaces of Lipschitz Functions on n-Modular Spaces." In XII. International Scientific Congress of Pure, Applied and Technological Sciences. Rimar Academy, 2024. https://doi.org/10.47832/minarcongress12-03.

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The intent of this article is to explore some properties of the set of all bounded linear operators and the set of all Lipschitz functions that are defined on n-modular spaces. We introduce the definition of n-modular bounded linear operator and then we describe the set of all n-modular bounded linear operator. One of our main results shows that this set is Banach space. Moreover, we give the definition of n-modular Lipschitz functions and then we characterize the set of all n-modular Lipschitz function. For a specific norm one of our main results shows that this set is Banach space
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Akgül, A., and M. Giyas Sakar. "Reproducing kernel functions and bounded linear operator for solving fractional nonlinear boundary value problems." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5044174.

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Balas, Mark J., and Susan A. Frost. "Adaptive Tracking Control for Linear Infinite Dimensional Systems." In ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/smasis2016-9098.

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Tracking an ensemble of basic signals is often required of control systems in general. Here we are given a linear continuous-time infinite-dimensional plant on a Hilbert space and a space of tracking signals generated by a finite basis, and we show that there exists a stabilizing direct adaptive control law that will stabilize the plant and cause it to asymptotically track any member of this collection of signals. The plant is described by a closed, densely defined linear operator that generates a continuous semigroup of bounded operators on the Hilbert space of states. There is no state or pa
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Fijalkow, Nathanaël, Bastien Maubert, Aniello Murano, and Moshe Vardi. "Assume-Guarantee Synthesis for Prompt Linear Temporal Logic." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/17.

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Prompt-LTL extends Linear Temporal Logic with a bounded version of the ``eventually'' operator to express temporal requirements such as bounding waiting times. We study assume-guarantee synthesis for prompt-LTL: the goal is to construct a system such that for all environments satisfying a first prompt-LTL formula (the assumption) the system composed with this environment satisfies a second prompt-LTL formula (the guarantee). This problem has been open for a decade. We construct an algorithm for solving it and show that, like classical LTL synthesis, it is 2-EXPTIME-complete.
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Li, Perry Y., and Dongjun Lee. "Passive Feedforward Approach to Bilateral Teleoperated Manipulators." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-2425.

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Abstract A control scheme for linear dynamically similar bilateral teleoperated manipulator system which ensures that the closed loop system is energetically passive is proposed. Energetic passivity implies that the teleoperated manipulator system is safe to interact with, and that the coupling between the system and any strictly passive environment is stable. The control objective is for the two manipulators in the system to behave in unison under the influence of both the operator and the work environment, while maintaining energetic passivity. The dynamics of the system in unison and its re
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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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Balas, Mark J., and Susan A. Frost. "A Stabilization of Fixed Gain Controlled Infinite Dimensional Systems by Augmentation With Direct Adaptive Control." In ASME 2017 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/smasis2017-3726.

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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. We have developed the following stability result: an infinite dimensional linear system is Almost Strictly Dissipative (ASD) if and only
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Ayyakannu, Ramachandran, and Sangeetha Sampath. "Bounded linear operators in quasi-normed linear space over non-archimedean field." In 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS (e-ICMTA-2022). AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0164534.

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Reports on the topic "Bounded linear operator"

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Muelaner, Jody Emlyn. Electric Road Systems for Dynamic Charging. SAE International, 2022. http://dx.doi.org/10.4271/epr2022007.

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Electric road systems (ERS) enable dynamic charging—the most energy efficient and economical way to decarbonize road vehicles. ERS draw electrical power directly from the grid and enable vehicles with small batteries to operate without the need to stop for charging. The three main technologies (i.e., overhead catenary lines, road-bound conductive tracks, and inductive wireless systems in the road surface) are all technically proven; however, no highway system has been commercialized. Electric Road Systems for Dynamic Charging discusses the technical and economic advantages of dynamic charging
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Visser, R., H. Kao, R. M. H. Dokht, A. B. Mahani, and S. Venables. A comprehensive earthquake catalogue for northeastern British Columbia: the northern Montney trend from 2017 to 2020 and the Kiskatinaw Seismic Monitoring and Mitigation Area from 2019 to 2020. Natural Resources Canada/CMSS/Information Management, 2021. http://dx.doi.org/10.4095/329078.

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To increase our understanding of induced seismicity, we develop and implement methods to enhance seismic monitoring capabilities in northeastern British Columbia (NE BC). We deploy two different machine learning models to identify earthquake phases using waveform data from regional seismic stations and utilize an earthquake database management system to streamline the construction and maintenance of an up-to-date earthquake catalogue. The completion of this study allows for a comprehensive catalogue in NE BC from 2014 to 2020 by building upon our previous 2014-2016 and 2017-2018 catalogues. Th
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Bano, Masooda, and Zeena Oberoi. Embedding Innovation in State Systems: Lessons from Pratham in India. Research on Improving Systems of Education (RISE), 2020. http://dx.doi.org/10.35489/bsg-rise-wp_2020/058.

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Abstract:
The learning crisis in many developing countries has led to searches for innovative teaching models. Adoption of innovation, however, disrupts routine and breaks institutional inertia, requiring government employees to change their way of working. Introducing and embedding innovative methods for improving learning outcomes within state institutions is thus a major challenge. For NGO-led innovation to have largescale impact, we need to understand: (1) what factors facilitate its adoption by senior bureaucracy and political elites; and (2) how to incentivise district-level field staff and school
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