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arXiv · 1408.3311

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

Thomas Schlumprecht
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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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Thomas Schlumprecht. 2014-08-14. On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases. https://arxiv.org/abs/1408.3311

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