On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases

2014/08/14 by Schlumprecht, Thomas
#46B03 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1408.3311

Abstract

We present a new proof of Zippin's Embedding Theorem, that every separable reflexive Banach space embeds into one with shrinking and boundedly complete basis, and every Banach space with a separable dual embeds into one with a shrinking basis. This new proof leads to improved versions of other embedding results.

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