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Some stability properties of c0-saturated spaces

Published online by Cambridge University Press:  24 October 2008

Denny H. Leung
Denny H. Leung
Affiliation:
Department of Mathematics, National University of Singapore, Singapore 0511 e-mail: matlhh@leonis.nus.sg
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Abstract

A Banach space is c0-saturated if all of its closed infinite-dimensional subspaces contain an isomorph of c0. In this article, we study the stability of this property under the formation of direct sums and tensor products. Some of the results are: (1) a slightly more general version of the fact that c0-sums of c0-saturated spaces are c0-saturated; (2) C(K, E) is c0-saturated if both C(K) and E are; (3) the tensor product is c0-saturated, where JH is the James Hagler space

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 118 , Issue 2 , September 1995 , pp. 287 - 301
Copyright
Copyright © Cambridge Philosophical Society 1995

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