On Banach spaces with the Tsirelson property

2002/06/18 by Eugene Tokarev, Tokarev, Eugene
Mathematics · #46B20 (Primary) 46B25 (Secondary) #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46B20 #msc:46B25

paper · pdf · doi:10.48550/arxiv.math/0206181

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arxiv created 2002/06/18 · openalex publication_date 2002/06/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Banach space X is said to have the Tsirelson property if it does not contain subspaces that are isomorphic to l_p, p in [1,infty) or c₀. The article contains a quite simple method to producing Banach spaces with the Tsirelson property.

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