An isometrically universal Banach space with a monotone Schauder basis

2014/02/11 by Joanna Garbulińska-Wȩgrzyn, Garbulińska-Wȩgrzyn, Joanna
Mathematics · #46M40 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Primary: 46B04. Secondary: 46M15

paper · pdf · doi:10.48550/arxiv.1402.2660

openalex publication_date 2014/02/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present an isometric version of the complementably universal Banach space B with a monotone Schauder basis. The space B is isomorphic to Pełczyński's space with a universal basis as well as to Kadec' complementably universal space with the bounded approximation property.

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