Results 101 to 110 of about 1,163,773 (213)
EMBEDDING THEOREMS IN BANACH -VALUED SOBOLEV-LIOUVILLE SPACES AND THEIR APPLICATIONS
In this paper we introduce a Banach- valued Sobolev-Liouville spaces associated with Banach spaces E1,E and some parameters and proved continuity and compacness of embedding operators in these spaces in terms of theory interpolations of Banach spaces ...
Veli SHAKHMUROV
doaj +2 more sources
Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces
Fixed point theorems for generalized Lipschitzian semigroups are proved in p-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp, and in ...
Balwant Singh Thakur, Jong Soo Jung
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Lipschitz‐free spaces over uniformly discrete metric spaces are 3‐Schur
Abstract We prove that the Lipschitz‐free space over any uniformly discrete metric space has the 3‐Schur property.
Marek Cúth, Ondřej F. K. Kalenda
wiley +1 more source
Genericity and amalgamation of classes of Banach spaces
We study universality problems in Banach space theory. We show that if A is an analytic class, in the Effros–Borel structure of subspaces of C([0,1]), of non-universal separable Banach spaces, then there exists a non-universal separable Banach space Y ...
Argyros, Spiros A. +5 more
core +1 more source
A Variational Characterization of Reflexivity and Strict Convexity [PDF]
In this paper we give a variational characterization of reflexivity and strict convexity which is related to James and Krein theorems in Geometry of Banach ...
Dragomir, Sever S
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Antiproximinal Norms in Banach Spaces
A closed convex subset \(C\) of a Banach space \((X,\| \;\| )\) is called antiproximinal if no point outside \(C\) has a nearest point in \(C\). This is equivalent to the property supp \(C \cap NA_{ \| \;\| }= \{0\}\), where supp \(C\) denotes the set of all support functionals of the set \(C\) and \(NA_{ \| \;\| }=\, \)supp \(B_ {\| \;\| }\) are the ...
Jonathan M. Borwein +2 more
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Abstract We characterize the extreme and exposed points of the unit ball (with respect to the L1$L^1$‐norm) in the shift‐invariant space generated by the Gaussian function, as well as in the quasi‐shift‐invariant space generated by the hyperbolic secant.
Markus Valås Hagen +3 more
wiley +1 more source
Generalized quasi-Banach sequence spaces and measures of noncompactness
Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA +2 more
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Criteria for Banach spaces [PDF]
Valentine, J. E., Wayment, S. G.
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On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases
We present a new proof of Zippin's Embedding Theorem, that every separable reflexive Banach space embeds into one with shrinking and boundedly complete basis, and every Banach space with a separable dual embeds into one with a shrinking basis. This new proof leads to improved versions of other embedding results.
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