Results 11 to 20 of about 1,340 (86)
Proximal quasi-normal structure in convex metric spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 We consider, in the setting of convex metric spaces, a new class of Kannan type cyclic orbital contractions, and study the existence of its best proximity points.
Gabeleh Moosa
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A criterion of weak compactness for operators on subspaces of Orlicz spaces
Journal of Function Spaces, Volume 6, Issue 3, Page 277-292, 2008., 2008 We give a criterion of weak compactness for the operators on the Morse‐Transue space MΨ, the subspace of the Orlicz space LΨ generated by L∞.
Pascal Lefèvre +4 more
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On non‐midpoint locally uniformly rotund normability in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 25, Page 1343-1346, 2004., 2004 We will show that if X is a tree‐complete subspace of ℓ∞, which contains c0, then it does not admit any weakly midpoint locally uniformly convex renorming. It follows that such a space has no equivalent Kadec renorming.
A. K. Mirmostafaee
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Interpolation methods to estimate eigenvalue distribution of some integral operators
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 9, Page 479-485, 2004., 2004 We study the asymptotic distribution of eigenvalues of integral operators Tk defined by kernels k which belong to Triebel‐Lizorkin function space Fpuσ(F qvτ) by using the factorization theorem and the Weyl numbers xn. We use the relation between Triebel‐Lizorkin space Fpuσ(Ω) and Besov space Bpqτ(Ω) and the interpolation methods to get an estimation ...
E. M. El-Shobaky +3 more
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Cyclic pairs and common best proximity points in uniformly convex Banach spaces
Open Mathematics, 2017 In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa +3 more
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Double‐dual n‐types over Banach spaces not containing ℓ1
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 33, Page 1747-1755, 2004., 2004 Let E be a Banach space. The concept of n‐type overE is introduced here, generalizing the concept of type overE introduced by Krivine and Maurey. Let E″ be the second dual of E and fix g″1,…g″n∈E″. The function τ : E × ℝn → ℝ, defined by letting τ(x,a1,…,an)=‖x+∑i=1naig″i‖ for all x ∈ E and all a1, …, an ∈ ℝ, defines an n‐type over E. Types that can be
Markus Pomper
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On L1-Embeddability of Unions of L1-Embeddable Metric Spaces and of Twisted Unions of Hypercubes
Analysis and Geometry in Metric Spaces, 2022 We study properties of twisted unions of metric spaces introduced in [Johnson, Lindenstrauss, and Schechtman 1986], and in [Naor and Rabani 2017]. In particular, we prove that under certain natural mild assumptions twisted unions of L1-embeddable metric ...
Ostrovskii Mikhail I. +1 more
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On uniform Kadec‐Klee properties and rotundity in generalized Cesàro sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 2, Page 91-97, 2004., 2004 We consider the generalized Cesàro sequence spaces defined by Suantai (2003) and consider it equipped with the Amemiya norm. The main purpose of this paper is to show that ces(p) equipped with the Amemiya norm is rotund and has uniform Kadec‐Klee property.
Narin Petrot, Suthep Suantai
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On the weak uniform rotundity of Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1943-1945, 2003., 2003 We prove that if Xi, i = 1, 2, …, are Banach spaces that are weak* uniformly rotund, then their lp product space (p > 1) is weak* uniformly rotund, and for any weak or weak* uniformly rotund Banach space, its quotient space is also weak or weak* uniformly rotund, respectively.
Wen D. Chang, Ping Chang
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Some results about Lipschitz p-Nuclear Operators
Moroccan Journal of Pure and Applied Analysis, 2021 The aim of this paper is to study the onto isometries of the space of strongly Lipschitz p-nuclear operators, introduced by D. Chen and B. Zheng (Nonlinear Anal.,75, 2012).
Bey Khedidja, Belacel Amar
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