Geometry of the Banach spaces C(beta mathbb N times K, X) for compact metric spaces K

Details Geometry of the Banach spaces C(beta mathbb N times K, X) for compact metric spaces K Geometry of the Banach spaces C(beta mathbb N times K, X) for compact metric spaces K

2010-11-14

arxiv.org/abs/1011.3261v2

Studia Math. 207 (2011) 153-180

Mathematics

Functional Analysis

This is a reorganization of the initial submission. Some results have been removed, some improved and several results are adde

Scientific paper

A classical result of Cembranos and Freniche states that the C(K, X) spaces contains a complemented copy of c_0 whenever K is an infinite compact Hausdorff space and X is an infinite dimensional Banach space. This paper takes this result as a starting point and begins a study of the conditions under which the spaces C(alpha), alpha

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