Complementably universal Banach spaces, II Academic Article uri icon

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.

author list (cited authors)

  • Johnson, W. B., & Szankowski, A.

citation count

  • 5

complete list of authors

  • Johnson, WB||Szankowski, A

publication date

  • December 2009