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Complemented c0-Subspaces of a Non-Separable C(K)-Space

Published online by Cambridge University Press:  20 November 2018

Wanda M. Patterson
Wanda M. Patterson*
Affiliation:
Department of Mathematics Spelman College Atlanta, Georgia 30314 U.S.A.
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Abstract

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The non-separable Banach space of right continuous functions with left hand limits and the supremum norm is investigated to find the isomorphic types of complemented subspaces. It is shown that every isometric isomorph of c0 is complemented in this space which may be identified as a non-separable C(K) space. Sufficient conditions are given for other isomorphs of C0 to be complemented in the space and the complement of a C0 subspace is characterized isomorphically.

Keywords

46E1546B25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 3 , 01 September 1993 , pp. 351 - 357
Copyright
Copyright © Canadian Mathematical Society 1993

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