The Tsirelson Space Has a Unique Unconditional Basis up to Permutation for

F. Albiac and C. Leránoz

Abstract and Applied Analysis, 2009, vol. 2009, 1-6

Abstract:

We show that the -convexified Tsirelson space for and all its complemented subspaces with unconditional basis have unique unconditional basis up to permutation. The techniques involved in the proof are different from the methods that have been used in all the other uniqueness results in the nonlocally convex setting.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:780287

DOI: 10.1155/2009/780287

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