On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases
Copyright policy )On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases
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.
- Czech Technical University in Prague Czech Republic
- Texas A&M University United States
- Texas A&M Research Foundation United States
- Texas A&M University Main Campus United States
Isomorphic theory (including renorming) of Banach spaces, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, embedding into Banach spaces with bases, finite-dimensional decomposition, Szlenk index, Functional Analysis (math.FA), Mathematics - Functional Analysis, Duality and reflexivity in normed linear and Banach spaces, FOS: Mathematics, 46B03
Isomorphic theory (including renorming) of Banach spaces, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, embedding into Banach spaces with bases, finite-dimensional decomposition, Szlenk index, Functional Analysis (math.FA), Mathematics - Functional Analysis, Duality and reflexivity in normed linear and Banach spaces, FOS: Mathematics, 46B03
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