Results 11 to 20 of about 155,050 (273)
The (𝐷) Property in Banach Spaces [PDF]
Abstract and Applied Analysis, 2012 A Banach space 𝐸 is said to have (D) property if every bounded linear operator 𝑇∶𝐹→𝐸∗ is weakly compact for every Banach space 𝐹 whose dual does not contain an isomorphic copy of 𝑙∞.
Danyal Soybaş
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On integration in Banach spaces, VII [PDF]
Czechoslovak Mathematical Journal, 1988 This part of author's series dedicated to an integration theory for Banach space valued functions contains some complements and extensions of results from previous parts [especially Part III and Part V, same journal 29(104), 478-499 (1979; Zbl 0429.28011), ibid.
Ivan Dobrakov
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On Decoupling in Banach Spaces [PDF]
Journal of Theoretical Probability, 2021 AbstractWe consider decoupling inequalities for random variables taking values in a Banach space X. We restrict the class of distributions that appear as conditional distributions while decoupling and show that each adapted process can be approximated by a Haar-type expansion in which only the pre-specified conditional distributions appear.
Cox, Sonja, Geiss, Stefan
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On $T$-orthogonality in Banach spaces
Colloquium Mathematicum, 2023 Let $\mathbb{X}$ be a Banach space and let $\mathbb{X}^*$ be the dual space of $\mathbb{X}.$ For $x,y \in \mathbb{X},$ $ x$ is said to be $T$-orthogonal to $y$ if $Tx(y) =0,$ where $T$ is a bounded linear operator from $\mathbb{X}$ to $\mathbb{X}^*.$ We study the notion of $T$-orthogonality in a Banach space and investigate its relation with the ...
Sain, Debmalya +2 more
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p-adic Banach space operators and adelic Banach space operators [PDF]
Opuscula Mathematica, 2014 In this paper, we study non-Archimedean Banach \(*\)-algebras \(\frak{M}_{p}\) over the \(p\)-adic number fields \(\mathbb{Q}_{p}\), and \(\frak{M}_{\mathbb{Q}}\) over the adele ring \(\mathbb{A}_{\mathbb{Q}}\). We call elements of \(\frak{M}_{p}\), \(p\)
Ilwoo Cho
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Geometric Characterization of Injective Banach Lattices
Mathematics, 2021 This is a continuation of the authors’ previous study of the geometric characterizations of the preduals of injective Banach lattices. We seek the properties of the unit ball of a Banach space which make the space isometric or isomorphic to an injective ...
Anatoly Kusraev, Semën Kutateladze
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Axioms, 2021 The aim of the paper is to introduce the Banach space consisting of real functions defined on a locally compact and countable at infinity metric space and having increments tempered by a modulus of continuity.
Józef Banaś, Rafał Nalepa
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An approach of Banach algebra in fuzzy metric spaces with an application
AIMS Mathematics, 2022 The purpose of this paper is to present a new concept of a Banach algebra in a fuzzy metric space (FM-space). We define an open ball, an open set and prove that every open ball in an FM-space over a Banach algebra A is an open set.
Saif Ur Rehman +3 more
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Observations on the Separable Quotient Problem for Banach Spaces
Axioms, 2020 The longstanding Banach−Mazur separable quotient problem asks whether every infinite-dimensional Banach space has a quotient (Banach) space that is both infinite-dimensional and separable.
Sidney A. Morris, David T. Yost
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Properties of Chmielinski-orthogonality using Kadets-Klee property
Iraqi Journal for Computer Science and Mathematics, 2022 The aim of this paper is to study new results of an approximate orthogonality of Birkhoff-James techniques in real Banach space , namely Chiemelinski orthogonality (even there is no ambiguity between the concepts symbolized by orthogonality) and provide
saied Johnny, Buthainah A. A. Ahmed
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