Title of article
Complementably universal Banach spaces, II
Author/Authors
W.B. Johnson، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
14
From page
3395
To page
3408
Abstract
The two main results are:
A. If a Banach space X is complementably universal for all subspaces of c0 which have the bounded
approximation property, then X∗ is non-separable (and hence X does not embed into c0).
B. There is no separable Banach space X such that every compact operator (between Banach spaces)
factors through X.
Theorem B solves a problem that dates from the 1970s.
© 2009 Elsevier Inc. All rights reserved
Keywords
Universal Banach spaces , Approximation property , Factorization of compactoperators , Complemented subspaces
Journal title
Journal of Functional Analysis
Serial Year
2009
Journal title
Journal of Functional Analysis
Record number
840027
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