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Zippin’s Embedding Theorem

  • Pandelis DodosEmail author
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1993)

Abstract

A deep result of Per Enflo [E] asserts that there exists a separable Banach space without a Schauder basis. On the other hand, by Theorem 1.8, every separable Banach space embeds into a Banach space with a Schauder basis. An old problem in Banach Space Theory (see [LT, Problem 1.b.16]) asked whether every space X with separable dual is isomorphic to a subspace of a space Y with a shrinking Schauder basis.

Keywords

Banach Space Separable Banach Space Isomorphic Copy Open Subset Versus General Topological Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of AthensAthensGreece

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