On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases |
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Authors: | Th Schlumprecht |
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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 |
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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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Keywords: | 46B03 46B10 |
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