Relevant bibliographies by topics / Analytic function on a Banach space

Contents

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

Academic literature on the topic 'Analytic function on a Banach space'

Author: Grafiati
Published: 4 June 2021
Last updated: 12 February 2022

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Journal articles on the topic "Analytic function on a Banach space"

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Cima, Joseph A., and Michael Stessin. "On the Recovery of Analytic Functions." Canadian Journal of Mathematics 48, no. 2 (1996): 288–301. http://dx.doi.org/10.4153/cjm-1996-015-4.

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AbstractIn this paper we consider questions of recapturing an analytic function in a Banach space from its values on a uniqueness set. The principal method is to use reproducing kernels to construct a sequence in the Banach space which converges in norm to the given functions. The method works for several classical Banach spaces of analytic functions including some Hardy and Bergman spaces.
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Mytrofanov, M. A., and A. V. Ravsky. "A note on approximation of continuous functions on normed spaces." Carpathian Mathematical Publications 12, no. 1 (2020): 107–10. http://dx.doi.org/10.15330/cmp.12.1.107-110.

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Let $X$ be a real separable normed space $X$ admitting a separating polynomial. We prove that each continuous function from a subset $A$ of $X$ to a real Banach space can be uniformly approximated by restrictions to $A$ of functions, which are analytic on open subsets of $X$. Also we prove that each continuous function to a complex Banach space from a complex separable normed space, admitting a separating $*$-polynomial, can be uniformly approximated by $*$-analytic functions.
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Garrido, M. I., J. Gómez Gil, and J. A. Jaramillo. "Homomorphisms on Function Algebras." Canadian Journal of Mathematics 46, no. 4 (1994): 734–45. http://dx.doi.org/10.4153/cjm-1994-041-3.

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AbstractLet A be an algebra of continuous real functions on a topological space X. We study when every nonzero algebra homomorphism φ: A → R is given by evaluation at some point of X. In the case that A is the algebra of rational functions (or real-analytic functions, or Cm-functions) on a Banach space, we provide a positive answer for a wide class of spaces, including separable spaces and super-reflexive spaces (with nonmeasurable cardinal).
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Lee, Han Ju. "Generalized Numerical Index of Function Algebras." Journal of Function Spaces 2019 (April 4, 2019): 1–6. http://dx.doi.org/10.1155/2019/9080867.

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Let X be a complex Banach space and Cb(Ω:X) be the Banach space of all bounded continuous functions from a Hausdorff space Ω to X, equipped with sup norm. A closed subspace A of Cb(Ω:X) is said to be an X-valued function algebra if it satisfies the following three conditions: (i) A≔{x⁎∘f:f∈A, x⁎∈X⁎} is a closed subalgebra of Cb(Ω), the Banach space of all bounded complex-valued continuous functions; (ii) ϕ⊗x∈A for all ϕ∈A and x∈X; and (iii) ϕf∈A for every ϕ∈A and for every f∈A. It is shown that k-homogeneous polynomial and analytic numerical index of certain X-valued function algebras are the
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Aljuaid, Munirah, and Flavia Colonna. "Composition Operators on Some Banach Spaces of Harmonic Mappings." Journal of Function Spaces 2020 (February 19, 2020): 1–11. http://dx.doi.org/10.1155/2020/9034387.

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We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space, the analytic Besov spaces, and the space BMOA.
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Hall, Leon M. "Banach spaces of functions analytic in a polydisc." International Journal of Mathematics and Mathematical Sciences 9, no. 1 (1986): 39–46. http://dx.doi.org/10.1155/s0161171286000054.

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This paper is concerned with functions of several complex variables analytic in the unit polydisc. Certain Banach spaces to which these functions might belong are defined and some relationships between them are developed. The space of linear functionals for the Banach space of functions analytic in the open unit polydisc and continuous on the unit torus is then described in terms of analytic functions using an extension of the Hadamard product.
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Aron, R. M., B. J. Cole, and T. W. Gamelin. "Weak-Star Continuous Analytic Functions." Canadian Journal of Mathematics 47, no. 4 (1995): 673–83. http://dx.doi.org/10.4153/cjm-1995-035-1.

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AbstractLet 𝒳 be a complex Banach space, with open unit ball B. We consider the algebra of analytic functions on B that are weakly continuous and that are uniformly continuous with respect to the norm. We show these are precisely the analytic functions on B that extend to be weak-star continuous on the closed unit ball of 𝒳**. If 𝒳* has the approximation property, then any such function is approximable uniformly on B by finite polynomials in elements of 𝒳*. On the other hand, there exist Banach spaces for which these finite-type polynomials fail to approximate. We consider also the approximati
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Zagorodnyuk, Andriy, and Anna Hihliuk. "Classes of Entire Analytic Functions of Unbounded Type on Banach Spaces." Axioms 9, no. 4 (2020): 133. http://dx.doi.org/10.3390/axioms9040133.

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In this paper we investigate analytic functions of unbounded type on a complex infinite dimensional Banach space X. The main question is: under which conditions is there an analytic function of unbounded type on X such that its Taylor polynomials are in prescribed subspaces of polynomials? We obtain some sufficient conditions for a function f to be of unbounded type and show that there are various subalgebras of polynomials that support analytic functions of unbounded type. In particular, some examples of symmetric analytic functions of unbounded type are constructed.
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Essmaili, Morteza, та Amir Sanatpour. "φ-contractibility of some classes of Banach function algebras". Filomat 31, № 20 (2017): 6543–49. http://dx.doi.org/10.2298/fil1720543e.

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In this paper, we study ?-contractibility of natural Banach function algebras on a compact Hausdorff space. As a consequence, we characterize ?-contractibility of the Lipschitz algebra Lip(X,d?), for a compact metric space (X,d). We also characterize ?-contractibility of certain subalgebras of Lipschitz functions including rational Lipschitz algebras, analytic Lipschitz algebras and differentiable Lipschitz algebras.
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Pang, Chin-Tzong, and Eskandar Naraghirad. "Approximating Common Fixed Points of Bregman Weakly Relatively Nonexpansive Mappings in Banach Spaces." Journal of Function Spaces 2014 (2014): 1–19. http://dx.doi.org/10.1155/2014/743279.

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Using Bregman functions, we introduce a new hybrid iterative scheme for finding common fixed points of an infinite family of Bregman weakly relatively nonexpansive mappings in Banach spaces. We prove a strong convergence theorem for the sequence produced by the method. No closedness assumption is imposed on a mappingT:C→C, whereCis a closed and convex subset of a reflexive Banach spaceE. Furthermore, we apply our method to solve a system of equilibrium problems in reflexive Banach spaces. Some application of our results to the problem of finding a minimizer of a continuously Fréchet differenti
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Dissertations / Theses on the topic "Analytic function on a Banach space"

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Malý, Lukáš. "Newtonian Spaces Based on Quasi-Banach Function Lattices." Licentiate thesis, Linköpings universitet, Matematik och tillämpad matematik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-79166.

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The traditional first-order analysis in Euclidean spaces relies on the Sobolev spaces W1,p(Ω), where Ω ⊂ Rn is open and p ∈ [1, ∞].The Sobolev norm is then defined as the sum of Lp norms of a function and its distributional gradient.We generalize the notion of Sobolev spaces in two different ways. First, the underlying function norm will be replaced by the “norm” of a quasi-Banach function lattice. Second, we will investigate functions defined on an abstract metric measure space and that is why the distributional gradients need to be substituted. The thesis consists of two papers. The first on
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Palmberg, Niklas. "Analytic function spaces : properties of operators and duality /." Åbo : Åbo akademis tryckeri, 2006. http://catalogue.bnf.fr/ark:/12148/cb41037087t.

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Erkursun, Nazife. "Convergence Of Lotz-raebiger Nets On Banach Spaces." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/3/12612108/index.pdf.

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The concept of LR-nets was introduced and investigated firstly by H.P. Lotz in [27] and by F. Raebiger in [30]. Therefore we call such nets Lotz-Raebiger nets, shortly LR-nets. In this thesis we treat two problems on asymptotic behavior of these operator nets. First problem is to generalize well known theorems for Ces`aro averages of a single operator to LR-nets, namely to generalize the Eberlein and Sine theorems. The second problem is related to the strong convergence of Markov LR-nets on L1-spaces. We prove that the existence of a lower-bound functions is necessary and sufficient for asymp
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Zeekoei, Elroy Denovanne. "A study of Dunford-Pettis-like properties with applications to polynomials and analytic functions on normed spaces / Elroy Denovanne Zeekoei." Thesis, North-West University, 2011. http://hdl.handle.net/10394/7586.

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Recall that a Banach space X has the Dunford-Pettis property if every weakly compact operator defined on X takes weakly compact sets into norm compact sets. Some valuable characterisations of Banach spaces with the Dunford-Pettis property are: X has the DPP if and only if for all Banach spaces Y, every weakly compact operator from X to Y sends weakly convergent sequences onto norm convergent sequences (i.e. it requires that weakly compact operators on X are completely continuous) and this is equivalent to “if (xn) and (x*n) are sequences in X and X* respectively and limn xn = 0 weakly and limn
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Barclay, Steven John. "Banach spaces of analytic vector-valued functions." Thesis, University of Leeds, 2007. http://etheses.whiterose.ac.uk/167/.

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The main theme of the thesis is the study of continuity and approximation problems, involving matrix-valued and vector-valued Hardy spaces on the unit disc ID and its boundary T in the complex plane. The first part of the thesis looks at the factorization of square matrix-valued boundary functions, beginning with spectral factorization in Chapter 2. Then ideas involving approximations with inner and outer functions are used to solve a matrix analogue of the Douglas-Rudin problem in Chapter 3. In both cases, considerable considerable extra difficulties are created by the noncommutativity of mat
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Dew, N. "Asymptotic structure of Banach spaces." Thesis, University of Oxford, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.270612.

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The notion of asymptotic structure of an infinite dimensional Banach space was introduced by Maurey, Milman and Tomczak-Jaegermann. The asymptotic structure consists of those finite dimensional spaces which can be found everywhere `at infinity'. These are defined as the spaces for which there is a winning strategy in a certain vector game. The above authors introduced the class of asymptotic $\ell_p$ spaces, which are the spaces having simplest possible asymptotic structure. Key examples of such spaces are Tsirelson's space and James' space. We prove some new properties of general asymptotic $
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Bertoloto, Fábio José. "Algebras de Banach de funções analiticas." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307335.

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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 2018-08-04T04:15:50Z (GMT). No. of bitstreams: 1 Bertoloto_FabioJose_M.pdf: 1324259 bytes, checksum: f7fd3d37bfe8d06ad156b30761402bfe (MD5) Previous issue date: 2005<br>Resumo: O principal objetivo deste trabalho é o estudo de certos espaços de Banach de funções analíticas no disco aberto unitário, conhecidos como espaços de Hardy. Um outro objetivo é o estudo das propriedades básicas de álgebras de Banach, com es
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Hoffmann, Mark. "Topics in complex analysis and function spaces /." free to MU campus, to others for purchase, 2003. http://wwwlib.umi.com/cr/mo/fullcit?p3091931.

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Crewe, Paul. "Some problems in abstract stochastic differential equations on Banach spaces." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:195c374f-3181-41b9-92d7-b375701a0b81.

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This thesis studies abstract stochastic differential equations on Banach spaces. The well-posedness of abstract stochastic differential equations on such spaces is a recent result of van Neerven, Veraar and Weis, based on the theory of stochastic integration of Banach space valued processes constructed by the same authors. We study existence and uniqueness for solutions of stochastic differential equations with (possibly infinite) delay in their inputs on UMD Banach spaces. Such problems are also known as functional differential equations or delay differential equations. We show that the metho
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Favaro, Vinicius Vieira. "Tipo e cotipo de espaços de Banach e espaços Lp de Banach." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306109.

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Orientador: Mario Carvalho de Matos<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-04T03:32:54Z (GMT). No. of bitstreams: 1 Favaro_ViniciusVieira_M.pdf: 628930 bytes, checksum: 5fd55816ec18b4b1dbe171a96f69e3ed (MD5) Previous issue date: 2005<br>Resumo: Neste trabalho apresentamos um estudo de dois tópicos, principalmente: a teoria básica de tipo e cotipo e a teoria básica dos espaços Lp. Mostramos como estes dois conceitos se relacionam, mais especificamente mostramos que cada
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Books on the topic "Analytic function on a Banach space"

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Vakhtang, Paatashvili, ed. Boundary value problems for analytic and harmonic functions in nonstandard Banach function spaces. Nova Science Publishers, 2011.

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Conference on Function Spaces (7th 2014 Southern Illinois University at Edwardsville). Function spaces in analysis: 7th Conference on Function Spaces, May 20-24, 2014, Southern Illinois University, Edwardsville, Illinois. Edited by Jarosz Krzysztof 1953 editor. American Mathematical Society, 2015.

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Krzysztof, Jarosz, ed. Function spaces in modern analysis: Sixth Conference on Function Spaces, May 18-22, 2010, Southern Illinois University, Edwardsville. American Mathematical Society, 2011.

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1975-, Parcet Javier, ed. Mixed-norm inequalities and operator space Lp embedding theory. American Mathematical Society, 2010.

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Banach spaces of analytic functions. Dover Publications, 1988.

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Hibschweiler, Rita A., and Thomas H. MacGregor, eds. Banach Spaces of Analytic Functions. American Mathematical Society, 2008. http://dx.doi.org/10.1090/conm/454.

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E, Jamison James, ed. Isometries on Banach spaces: Function spaces. Chapman & Hall/CRC, 2003.

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Morrison, Terry J. Functional analysis: An introduction to Banach space theory. Wiley, 2001.

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Mashreghi, Javad, Emmanuel Fricain, and William T. Ross. Invariant subspaces of the shift operator: CRM Workshop, Invariant Subspaces of the Shift Operator, August 26-30, 2013, Centre de Recherches Mathematiques, Universite' de Montreal, Montreal. American Mathematical Society, 2015.

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Mujica, Jorge. Complex analysis in Banach spaces. Dover Publications, 2010.

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Book chapters on the topic "Analytic function on a Banach space"

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Shields, Allen L. "Cyclic Vectors in Banach Spaces of Analytic Functions." In Operators and Function Theory. Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5374-1_10.

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Anastassiou, George A. "Multidimensional Ostrowski Type Inequalities for Banach Space Valued Functions." In Intelligent Comparisons: Analytic Inequalities. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-21121-3_17.

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Anastassiou, George A. "About Ostrowski and Landau Type Inequalities for Banach Space Valued Functions." In Intelligent Comparisons: Analytic Inequalities. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-21121-3_16.

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Pinelas, Sandra, V. Govindan, and K. Tamilvanan. "Stability of an n-Dimensional Functional Equation in Banach Space and Fuzzy Normed Space." In Frontiers in Functional Equations and Analytic Inequalities. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28950-8_10.

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Muscat, Joseph. "Banach Spaces." In Functional Analysis. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06728-5_11.

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Malkowsky, Eberhard, and Vladimir Rakočević. "Banach Spaces." In Advanced Functional Analysis. CRC Press, 2019. http://dx.doi.org/10.1201/9780429442599-4.

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Lang, Serge. "Banach Spaces." In Real and Functional Analysis. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4612-0897-6_4.

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Farenick, Douglas. "Banach Spaces." In Fundamentals of Functional Analysis. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45633-1_5.

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Siddiqi, Abul Hasan. "Banach Spaces." In Functional Analysis and Applications. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-3725-2_2.

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Mukherjea, A., and K. Pothoven. "Banach Spaces." In Real and Functional Analysis. Springer US, 1986. http://dx.doi.org/10.1007/978-1-4899-4558-7_1.

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Conference papers on the topic "Analytic function on a Banach space"

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Massopust, Peter. "On local fractal functions in banach spaces." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912866.

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BLASCO, O., and PABLO GREGORI. "VECTOR MEASURES WITH VARIATION IN A BANACH FUNCTION SPACE." In Proceedings of the Sixth Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704450_0006.

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Liu, Zhaoli. "Localized critical points in Banach spaces and sign changing solutions of nonlinear p-Laplacian equations." In Proceedings of the ICM 2002 Satellite Conference on Nonlinear Functional Analysis. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704283_0016.

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Pérez, E. A. Sánchez. "The Radon-Nikodým theorem for vector measures and integral representation of operators on Banach function spaces." In V International Course of Mathematical Analysis in Andalusia. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789814699693_0008.

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Bota, C., B. Căruntu, and O. Bundău. "Application of He's homotopy perturbation method for a nonlinear functional equation in Banach spaces." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825830.

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Huang, Kai, Hongchun Wu, Liangzhi Cao, and Youqi Zheng. "Study on Improvement of Analytic Depletion Calculation Method." In 2013 21st International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/icone21-15730.

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The transmutation trajectory analysis (TTA) method is a traditional analytic depletion calculation algorithm. It’s capable of providing very accurate solutions with cutoff value being sufficiently small, but the main drawback is expensive time consumption. In this paper, the depletion problem was rephrased as a directed-graph module with additional properties attributed to vertices and edges. Based on this model a new approach for TTA implementation was conducted, to which dynamic programming technique could be introduced easily. Besides it, a new analytic algorithm is proposed based on the ab
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Wang, Xiaofei, Zaojian Zou, Tieshan Li, and Weilin Luo. "Discrete and Analytic Model Predictive Control for Path Following of Underactuated Ships." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79997.

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The control problem of underactuated surface ships and underwater vehicles has attracted more and more attentions during the last years. Path following control aims at forcing the vehicles to converge and follow a desired path. Path following control of underactuated surface ships or underwater vehicles is an important issue to study nonlinear systems control, and it is also important in the practical implementation such as the guidance and control of marine vehicles. This paper proposes two nonlinear model predictive control algorithms to force an underactuated ship to follow a predefined pat
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Bao, Zhuojun. "Collision Control by Graphic Simulation." In ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium collocated with the ASME 1995 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/cie1995-0826.

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Abstract In this paper the development of a function for the universally applicable collision control of kinematical mechanisms is presented for an integrated CAD/CAM system. A new method for the computer aided collision control between moving bodies starts from the computer representation model as a source of information. In solid modeling the boundary or CSG representations of components are converted into extended octrees (EO). With the extended octrees the collision control is possible on the basis of analytic 3d-geometric models. A discrete collision control is based on static min-max-tes
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Weaver-Rosen, Jonathan M., and Richard J. Malak. "Efficient Parametric Optimization for Expensive Single Objective Problems." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22113.

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Abstract Parametric optimization solves optimization problems as a function of uncontrollable or unknown parameters. Such an approach allows an engineer to gather more information than traditional optimization procedures during design. Existing methods for parametric optimization of computationally or monetarily expensive functions can be too time-consuming or impractical to solve. Therefore, new methods for the parametric optimization of expensive functions need to be explored. This work proposes a novel algorithm that leverages the advantages of two existing optimization algorithms. This new
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Zhu, Liang, and David Kazmer. "A Performance-Based Representation of Constraint Based Reasoning and Decision Based Design." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/dtm-14556.

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Abstract A performance-based representation is developed utilizing multi-dimensional clipping and transformation algorithms. Given analytic performance functions, three types of supporting information is presented to the decision maker: 1) a function matrix that describes the performance attributes varying with the decision variables; 2) a decision space that illustrates the feasible decision set that meets performance requirements, and; 3) a performance space that provides the feasible performance region and the Pareto Optimal set. The performance-based representation is compatible with other
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