Complementably Universal Banach spaces, II Academic Article

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.

authors

• Johnson, William

published proceedings

• JOURNAL OF FUNCTIONAL ANALYSIS

author list (cited authors)

• Johnson, W. B., & Szankowski, A.

citation count

• 5

complete list of authors

• Johnson, WB||Szankowski, A

publication date

• January 2009

publisher

• Elsevier  Publisher

published in

• Journal of Functional Analysis  Journal

keywords

• Approximation Property
• Complemented Subspaces
• Factorization Of Compact Operators
• Universal Banach Spaces

Digital Object Identifier (DOI)

• 10.1016/j.jfa.2009.07.008

start page

• 3395

end page

• 3408

volume

• 257

issue

• 11

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.jfa.2009.07.008