On shrinking basic sequences in Banach spaces

David Dean; Ivan Singer; Leonard Stembach

Displaying similar documents to “On shrinking basic sequences in Banach spaces”

Characterising subspaces of Banach spaces with a Schauder basis having the shift property

Christian Rosendal (2011)

Studia Mathematica

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We give an intrinsic characterisation of the separable reflexive Banach spaces that embed into separable reflexive spaces with an unconditional basis all of whose normalised block sequences with the same growth rate are equivalent. This uses methods of E. Odell and T. Schlumprecht.

Basic sequences and reflexivity of Banach spaces

Singer, I.

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A simple proof of two theorems concerning bases of $C (0, 1)$

G. Schechtman (1978-1979)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

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Quotients with a shrinking basis

Jorge Mujica (2012)

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We present a simple proof of a theorem that yields as a corollary a result of Valdivia that sharpens an old result of Johnson and Rosenthal.

Approximation properties and universal Banach spaces

Przemyslaw Wojtaszczyk (1972)

Mémoires de la Société Mathématique de France

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On Banach spaces in which every M-basis is a generalized summation basis

Ivan Singer (1979)

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Biorthogonal systems and bases in Banach space (Preliminary note)

Jiří Vaníček (1960)

Commentationes Mathematicae Universitatis Carolinae

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Two geometric constants for operators acting on a separable Banach space.

E. Martín Peinador, E. Induráin, A. Plans Sanz de Bremond, A. A. Rodes Usan (1988)

Revista Matemática de la Universidad Complutense de Madrid

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The main result of this paper is the following: A separable Banach space X is reflexive if and only if the infimum of the Gelfand numbers of any bounded linear operator defined on X can be computed by means of just one sequence on nested, closed, finite codimensional subspaces with null intersection.