Relevant bibliographies by topics / Reflexive Banach spaces

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

Academic literature on the topic 'Reflexive Banach spaces'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Reflexive Banach spaces"

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Aron, Richard M., and Seán Dineen. "$Q$-Reflexive Banach Spaces." Rocky Mountain Journal of Mathematics 27, no. 4 (1997): 1009–25. http://dx.doi.org/10.1216/rmjm/1181071856.

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Wang, Xianfu. "Extremal characterizations of reflexive spaces." Journal of the Australian Mathematical Society 82, no. 3 (2007): 429–40. http://dx.doi.org/10.1017/s144678870003620x.

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AbstractAssume that a Banach space has a Fréchet differentiable and locally uniformly convex norm. We show that the reflexive property of the Banach space is not only sufficient, but also a necessary condition for the fulfillment of the proximal extremal principle in nonsmooth analysis.
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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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Jiménez-Melado, A. "Stability of weak normal structure in James quasi reflexive space." Bulletin of the Australian Mathematical Society 46, no. 3 (1992): 367–72. http://dx.doi.org/10.1017/s0004972700012016.

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We introduce a coefficient on general Banach spaces which allows us to derive the weak normal structure for those Banach spaces whose Banach-Mazur distance to James quasi reflexive space is less than .
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Ghoussoub, N., B. Maurey, and W. Schachermayer. "Slicings, Selections and Their Applications." Canadian Journal of Mathematics 44, no. 3 (1992): 483–504. http://dx.doi.org/10.4153/cjm-1992-031-6.

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In the past few years, much progress have been made on several open problems in infinite dimensional Banach space theory. Here are some of the most recent results:1)The existence of boundedly complete basic sequences in a large class of Banach spaces including the ones with the so-called Radon-Nikodym property ([G-M2], [G-M4]).2)The embedding of separable reflexive Banach spaces into reflexive spaces with basis (fZl).3)The existence of long sequences of projections and hence of locally uniformly convex norms in the duals of Asplund spaces. ([F-G])
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Iovino, José. "Stable models and reflexive banach spaces." Journal of Symbolic Logic 64, no. 4 (1999): 1595–600. http://dx.doi.org/10.2307/2586800.

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AbstractWe show that a formula φ(x, y) is stable if and only if φ is the pairing map on the unit ball of E × E*, where E is a reflexive Banach space. The result remains true if the formula φ is replaced by a set of formulas .
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Couchouron, Jean-François, and P. Ligarius. "Nonlinear observers in reflexive Banach spaces." ESAIM: Control, Optimisation and Calculus of Variations 9 (January 2003): 67–103. http://dx.doi.org/10.1051/cocv:2003001.

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Gutev, Valentin, and Stoyan Nedev. "Continuous selections and reflexive Banach spaces." Proceedings of the American Mathematical Society 129, no. 6 (2000): 1853–60. http://dx.doi.org/10.1090/s0002-9939-00-05740-3.

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Matoušková, Eva, and Charles Stegall. "A characterization of reflexive Banach spaces." Proceedings of the American Mathematical Society 124, no. 4 (1996): 1083–90. http://dx.doi.org/10.1090/s0002-9939-96-03093-6.

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Harder, Felix. "Legendre Forms in Reflexive Banach Spaces." Zeitschrift für Analysis und ihre Anwendungen 37, no. 4 (2018): 377–88. http://dx.doi.org/10.4171/zaa/1619.

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Dissertations / Theses on the topic "Reflexive Banach spaces"

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RUSSO, TOMMASO. "ON SOME OPEN PROBLEMS IN BANACH SPACE THEORY." Doctoral thesis, Università degli Studi di Milano, 2019. http://hdl.handle.net/2434/609289.

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The main line of investigation of the present work is the study of some aspects in the analysis of the structure of the unit ball of (infinite-dimensional) Banach spaces. In particular, we analyse some questions concerning the existence of suitable renormings that allow the new unit ball to possess a specific geometric property. The main part of the thesis is, however, dedicated to results of isometric nature, in which the original norm is the one under consideration. One of the main sources for the selection of the topics of investigation has been the recent monograph [GMZ16], entirely
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Ghawadrah, Ghadeer. "Théorie descriptive des ensembles et espaces de Banach." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066078/document.

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Cette thèse traite de la théorie descriptive des ensembles et de la géométrie des espaces de Banach. La première partie consiste en l’étude de la complexité descriptive de la famille des espaces de Banach avec la propriété d’approximation bornée, respectivement la propriété π, dans l’ensemble des sous-espaces fermés de C(Δ), où Δ est l’ensemble de Cantor. Ces familles sont boréliennes. En outre, nous montrons que si alpha<br>This thesis deals with the descriptive set theory and the geometry of Banach spaces.The first chapter consists of the study of the descriptive complexity of the set of Ban
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Bouchitte, Guy. "Calcul des variations en cadre non reflexif : representation et relaxation de fonctionnelles integrales sur un espace de mesures, applications en plasticite et homogeneisation." Perpignan, 1987. http://www.theses.fr/1987PERP0033.

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Etude variationnelle de fonctionnelles convexes du type somomega f(x,u(x),du)dx lorsque la croissance de f necessite du travail dans un banach non reflexif. On abordera en particulier les questions relatives a la semi-continuite inferieure, la relaxation, la convergence variationnelle et l'approximation, l'equation d'euler. . . Ayant en vue certaines applications dans le dommaine de la mecanique (plasticite, milieux fissures), on s'interessera principalement au cas ou l'integrande f presente une croissance lineaire par rapport au gradient. Suivant une demarche desormais classique, cela nous am
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Lee, Chi-Fung, та 李奇峰. "Some Result About sσ-limit And A Representation Throrem Of Sequence In A Reflexive Banach space". Thesis, 2002. http://ndltd.ncl.edu.tw/handle/07154975882947413133.

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碩士<br>國立中央大學<br>數學研究所<br>90<br>In this paper,we will discuss a new limit--sσ-limit. In section 2, we prove some results about sσ-limit. In section3, we discuss the sσ-limit and the vector-valued functions. In section 4, we prove the representation of sequence in a reflexive Banach space. Finally, we give some examples about sσ-limit in section 5.
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Kurka, Ondřej. "Deskriptivní a topologické aspekty v teorii Banachových prostorů." Doctoral thesis, 2011. http://www.nusl.cz/ntk/nusl-299367.

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The thesis consists of three papers of the author. In the first paper, it is shown that the sets of Fréchet subdifferentiability of Lipschitz functions on a Banach space X are Borel if and only if X is reflexive. This answers a ques- tion of L. Zajíček. In the second paper, a problem of G. Debs, G. Godefroy and J. Saint Raymond is solved. On every separable non-reflexive Banach space, equivalent strictly convex norms with the set of norm-attaining func- tionals of arbitrarily high Borel class are constructed. In the last paper, binormality, a separation property of the norm and weak topologies
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Book chapters on the topic "Reflexive Banach spaces"

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Schechter, Martin. "Reflexive Banach spaces." In Graduate Studies in Mathematics. American Mathematical Society, 2001. http://dx.doi.org/10.1090/gsm/036/08.

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Godefroy, G. "Remarks on Spaces of Compact Operators between Reflexive Banach Spaces." In Operator Theory in Harmonic and Non-commutative Analysis. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06266-2_8.

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Prato, Giuseppe, and Eugenio Sinestrari. "Time Dependent Differential Equations in Non Reflexive Banach Spaces." In Differential Equations with Applications in Biology, Physics, and Enqineering. CRC Press, 2017. http://dx.doi.org/10.1201/9781315141244-7.

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Badea, Lori. "An Additive Schwarz Method for the Constrained Minimization of Functionals in Reflexive Banach Spaces." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-75199-1_54.

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Reich, Simeon, and Shoham Sabach. "Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces." In Springer Optimization and Its Applications. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-9569-8_15.

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Graham, Ian, Hidetaka Hamada, and Gabriela Kohr. "Extremal Problems and g-Loewner Chains in ℂ n $$\mathbb{C}^{n}$$ and Reflexive Complex Banach Spaces." In Topics in Mathematical Analysis and Applications. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06554-0_16.

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Olakunle Jolaoso, Lateef. "Some Extragradient Methods for Solving Variational Inequalities Using Bregman Projection and Fixed Point Techniques in Reflexive Banach Spaces." In Metric Fixed Point Theory. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-4896-0_8.

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Kunze, Herb, Davide La Torre, and Manuel Ruiz Galán. "Using the Collage Method to Solve Inverse Problems for Vector-Valued Variational Problems on a Perforated Domain in Reflexive Banach Spaces." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-99719-3_10.

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Kartsatos, Athanassios G., and William R. Zigler. "Some Properties of Differential Equations in the Weak Topology of a Reflexive Banach Space." In Advances in Nonlinear Dynamics. Routledge, 2023. http://dx.doi.org/10.1201/9781315136875-32.

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Kantorovitz, Shmuel, and Ami Viselter. "Integral representation." In Introduction to Modern Analysis, 2nd ed. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192849540.003.0009.

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Abstract This chapter is mostly concerned with integral representations of bounded operators, which are far-reaching generalizations of the spectral theorem for selfadjoint matrices. We prove the classical spectral theorem for normal operators on Hilbert spaces. We then use a renorming method in the general Banach space setting to construct the semi-simplicity space of a bounded operator, on which it admits a continuous operational calculus provided that the Banach space is reflexive. We present the analytic operational calculus for elements of an arbitrary Banach algebra and use it to develop
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Conference papers on the topic "Reflexive Banach spaces"

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Barbagallo, Annamaria, Stéphane Pia, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Projected Dynamical Inclusions in Reflexive Banach Spaces." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636888.

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Giorgobiani, George, Vakhtang Kvaratskhelia, and Vazha Tarieladze. "Characterization of Sub-Gaussian Random Elements in Banach Spaces." In International Conference on Computer Science and Information Technologies. The University of Georgia, 2024. https://doi.org/10.62343/csit.2024.11.

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We present without proof the following result: if X is a Banach space and a weakly sub-Gaussian random element in X induces the 2-summing operator, then it is T−sub-Gaussian provided that X is a reflexive type 2 space. Using this result we obtain a characterization of weakly sub-Gaussian random elements in a Hilbert space which are T−sub-Gaussian.
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Melnik, R. V. N. "Approximate models for nonlinear control and Hamilton-Jacobi-Bellman equations in non-reflexive banach spaces." In 1999 European Control Conference (ECC). IEEE, 1999. http://dx.doi.org/10.23919/ecc.1999.7099740.

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Journal articles
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