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
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A simple proof of two theorems concerning bases of
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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...
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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.