AbstractWe discuss the finite representability of a Banach space E in another Banach space F, assuming that F satisfies certain smoothness conditions. We apply these results to develop a classification of superreflexive spaces into isomorphic classes, called k-superreflexive spaces (k = 1, 2,…, ∞); and we derive a strong converse to Dvoretsky's near-sphericity theorem. Further, our main theorem complements an important recent result of Krivine
The aim of this paper is to discuss the concept of near smoothness in some Banach sequence spaces
The aim of this paper is to discuss the concept of near smoothness in some Banach sequence spaces
ABSTRACT. For a bounded function f from the unit sphere of a closed subspace X of a Banach space Y, ...
AbstractWe discuss the finite representability of a Banach space E in another Banach space F, assumi...
We prove that a Banach space X with a supershrinking basis (a special type of shrinking basis) witho...
spaces. E is said to be finitely representable in F if, given e> 0 and a finite dimensional subsp...
AbstractIt is shown that a Banach space X is not superreflexive iff there exists a Banach space Y, f...
Dedicated to the memory of Prof. Klaus Floret. Abstract. We prove that a Banach space that is convex...
. A Banach space X is superreflexive if each Banach space Y that is finitely representable in X is r...
We introduce a notion of finite representability of dual Ba-nach spaces in their subspaces preservin...
summary:An infinite dimensional counterpart of uniform smoothness is studied. It does not imply refl...
summary:Almost transitive superreflexive Banach spaces have been considered in [7] (see also [4] and...
Every separable infinite-dimensional superreflexive Banach space admits an equivalent norm which is ...
Some results are presented, concerning aclass of Banach spaces introduced by G. Godefroy and M. Tala...
The purpose of this paper is to study certain geometrical properties for non-complete normed spaces....
The aim of this paper is to discuss the concept of near smoothness in some Banach sequence spaces
The aim of this paper is to discuss the concept of near smoothness in some Banach sequence spaces
ABSTRACT. For a bounded function f from the unit sphere of a closed subspace X of a Banach space Y, ...
AbstractWe discuss the finite representability of a Banach space E in another Banach space F, assumi...
We prove that a Banach space X with a supershrinking basis (a special type of shrinking basis) witho...
spaces. E is said to be finitely representable in F if, given e> 0 and a finite dimensional subsp...
AbstractIt is shown that a Banach space X is not superreflexive iff there exists a Banach space Y, f...
Dedicated to the memory of Prof. Klaus Floret. Abstract. We prove that a Banach space that is convex...
. A Banach space X is superreflexive if each Banach space Y that is finitely representable in X is r...
We introduce a notion of finite representability of dual Ba-nach spaces in their subspaces preservin...
summary:An infinite dimensional counterpart of uniform smoothness is studied. It does not imply refl...
summary:Almost transitive superreflexive Banach spaces have been considered in [7] (see also [4] and...
Every separable infinite-dimensional superreflexive Banach space admits an equivalent norm which is ...
Some results are presented, concerning aclass of Banach spaces introduced by G. Godefroy and M. Tala...
The purpose of this paper is to study certain geometrical properties for non-complete normed spaces....
The aim of this paper is to discuss the concept of near smoothness in some Banach sequence spaces
The aim of this paper is to discuss the concept of near smoothness in some Banach sequence spaces
ABSTRACT. For a bounded function f from the unit sphere of a closed subspace X of a Banach space Y, ...
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