Results 11 to 20 of about 4,974,492 (203)
Constructive reflexivity of a uniformly convex Banach space [PDF]
Proceedings of the American Mathematical Society, 1988 In this paper we consider a question about reflexivity of a Banach space within the framework of Bishop’s constructive mathematics and we give a partially affirmative answer to the question set by Bishop: "Is every uniformly convex Banach space reflexive?".
Hajime Ishihara
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A Generalization of Uniformly Extremely Convex Banach Spaces [PDF]
Journal of Function Spaces, 2016 We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes ofk-uniformly rotund spaces andk-strongly convex spaces or classes of fullyk-convex spaces andk-strongly convex spaces and has no ...
Suyalatu Wulede +2 more
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Uniformly convex functions on Banach spaces [PDF]
Proceedings of the American Mathematical Society, 2008 [EN] Given a Banach space (X,k · k), we study the connection between uniformly convex functions f : X ¿ R bounded above by k · kp , and the existence of norms on X with moduli of convexity of power type. In particular, we show that there exists a uniformly convex function f : X ¿ R bounded above by k · k2 if and only if X admits an equivalent norm with
Borwein, Jonathan M. +3 more
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A uniformly convex Banach space with a Schauder basis which is subsymmetric but not symmetric [PDF]
Proceedings of the American Mathematical Society, 1976 An example of a uniformly convex Banach space with a basis ( x i
Lakhpat R. Pujara
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Journal of Applied Mathematics, 2013 We introduce composite implicit and explicit iterative algorithms for solving a general system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in a real smooth and uniformly convex Banach space.
Lu-Chuan Ceng, Ching-Feng Wen
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Interpolation of uniformly convex Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1982 If A 0 {A_0} and A 1 {A_1} are a compatible couple of Banach spaces, one of which is uniformly convex, then the complex interpolation spaces [ A 0 ,
Cwikel, Michael, Reisner, Shlomo
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Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2000 We shall consider the behaviour of Ishikawa iteration with errors in a uniformly convex Banach space.
Deng Lei, Li Shenghong
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An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]
, 2010 We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property
Alistair Bird +3 more
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Directional Differentiability of the Metric Projection in Uniformly Convex and Uniformly Smooth Banach Spaces [PDF]
, 2023 Let X be a real uniformly convex and uniformly smooth Banach space and C a nonempty closed and convex subset of X. Let Pc from X to C denote the (standard) metric projection operator.
Li, Jinlu
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A uniformly convex hereditarily indecomposable banach space [PDF]
Israel Journal of Mathematics, 1997 A {\em hereditarily indecomposable (or H.I.)} Banach space is an infinite dimensional Banach space such that no subspace can be written as the topological sum of two infinite dimensional subspaces. As an easy consequence, no such space can contain an unconditional basic sequence.
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