Remarks about Schlumprecht space

1998/02/05 by Denka Kutzarova, Kutzarova, Denka
Mathematics · #46B20 #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46B20

paper · pdf · doi:10.48550/arxiv.math/9802129

openalex publication_date 1998/02/05 · arxiv created 1998/04/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that Schlumprecht space S is isomorphic to (∑_k=1^∞ ⊕ ℓ_infty ^n_k)_S for any sequence of integers (n_k). We also show that every complemented subspace of S which has some subsymmetric basis, is isomorphic to S.

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