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On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases
Authors:Th Schlumprecht
Institution:1. Department of Mathematics, Texas A&M University, College Station, TX 77845, USA;2. Faculty of Electrical Engineering, Czech Technical University in Prague, Zikova 4, 16627, Prague, Czech Republic
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.
Keywords:46B03  46B10
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