Albiac Alesanco, Fernando José

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https://academica-e.unavarra.es/handle/2454/48472

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Albiac Alesanco

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Fernando José

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Estadística, Informática y Matemáticas

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InaMat2. Instituto de Investigación en Materiales Avanzados y Matemáticas

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0000-0001-7051-9279

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88452

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504

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Author: Albiac Alesanco, Fernando José × Subject: Bases ×

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    PublicationOpen Access
    The Tsirelson space tau (p) has a unique unconditional basis up to permutation for 0 < p < 1
    (Hindawi Publishing Corporation, 2009) Albiac Alesanco, Fernando José; Leránoz Istúriz, María Camino; Matemáticas; Matematika
    We show that the p-convexified Tsirelson space tau((p)) for 0 < p < 1 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. Copyright (C) 2009 F. Albiac and C. Leranoz.