Isometric uniqueness of a complementably universal Banach space for Schauder decompositions

2012/11/09 by Joanna Garbulińska, Garbulińska, Joanna
Mathematics · #46B04 (Primary) 46M15 #46M40 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46B04 #msc:46M15 #msc:46M40

paper · pdf · doi:10.48550/arxiv.1211.2211

arxiv created 2013/06/10 · arxiv updated 2013/06/11

Abstract

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

Related

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