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

abstract

• 2015 Elsevier Inc. 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.

authors

• Schlumprecht, Thomas

published proceedings

• Advances in Mathematics

author list (cited authors)

• Schlumprecht, T. h.

citation count

• 10

complete list of authors

• Schlumprecht, Th

publication date

• January 2015

publisher

• Elsevier  Publisher

published in

• Advances in Mathematics  Journal

Digital Object Identifier (DOI)

• 10.1016/j.aim.2015.02.004

start page

• 833

end page

• 880

volume

• 274

URL

• http://dx.doi.org/10.1016/j.aim.2015.02.004