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A Stability Property of a Class of Banach Spaces Not Containing c0

Published online by Cambridge University Press:  20 November 2018

Patrick N. Dowling
Patrick N. Dowling*
Affiliation:
Department of Mathematics and Statistics Miami University Oxford, Ohio 45056 U.S.A.
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Abstract

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Let E be a Banach ideal space and X be a Banach space. The Banach function space E(X) does not contain a copy of C0 if and only if neither E nor X contains a copy of c0. Some extensions of this result are also noted.

Keywords

46E4043A46.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 1 , 01 March 1992 , pp. 56 - 60
Copyright
Copyright © Canadian Mathematical Society 1992

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