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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
Abstract
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.
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- Copyright © Canadian Mathematical Society 1992
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