On the structure of asymptotic l_p spaces

2006/03/02 by E. Odell, Edward Odell, Th. Schlumprecht +5 · 1 citation
Mathematics · #46B20 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #advanced mathematical theories #math.FA #msc:46B20

paper · pdf · doi:10.48550/arxiv.math/0603063

32 pages

arxiv created 2006/03/02 · openalex publication_date 2006/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that if X is a separable, reflexive space which is asymptotic l_p, then X embeds into a reflexive space Z having an asymptotic l_p finite-dimensional decomposition. This result leads to an intrinsic characterization of subspaces of spaces with an asymptotic l_p FDD. More general results of this type are also obtained.

Citations

• Trees and branches in Banach spaces

Cited by

• A Characterization of Subspaces and Quotients of Reflexive Banach Spaces with Unconditional Bases

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