Uniqueness of some unconditional bases II
J. Lindenstrauss (1980-1981)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Displaying similar documents to “The Tsirelson space has a unique unconditional basis up to permutation for .”
Uniqueness of some unconditional bases II
On subspaces of locally convex spaces with unconditional Schauder bases
L. Drewnowski (1987)
Colloquium Mathematicae
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On shrinking basic sequences in Banach spaces
David Dean, Ivan Singer, Leonard Stembach (1971)
Studia Mathematica
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A simple proof of two theorems concerning bases of
G. Schechtman (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Aspects of unconditionality of bases in spaces of compact operators
James R. Holub (1998)
Annales Polonici Mathematici
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E. Tutaj has introduced classes of Schauder bases termed "unconditional-like" (UL) and "unconditional-like*" (UL*) whose intersection is the class of unconditional bases. In view of this association with unconditional bases, it is interesting to note that there exist Banach spaces which have no unconditional basis and yet have a basis of one of these two types (e.g., the space 𝓞[0,1]). In the same spirit, we show in this paper that the space of all compact operators on a reflexive Banach...
On the relation between several notions of unconditional structure - A counterexample
G. Schechtman (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Quotients with a shrinking basis
Jorge Mujica (2012)
Studia Mathematica
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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.
Basic sequences and reflexivity of Banach spaces
Singer, I.
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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.