Some stability properties of c0-saturated spaces-Reference-Cited by-同舟云学术

Some stability properties of c0-saturated spaces

Published:1995-09 Issue:2 Volume:118 Page:287-301
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Leung Denny H.

Abstract

AbstractA 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

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

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