Uniform Convexity of Köthe-Bochner function spaces

Khandaqji, M. and Awawdeh, F. (2008) Uniform Convexity of Köthe-Bochner function spaces. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 24 (3). pp. 385-390. ISSN 0866-0174

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Abstract

Of concern are the Köthe-Bochner function spaces E(X) where X is a real Banach space. Thus, of concern is the uniform convexity on the Köthe-Bochner function space E(X). We show that E(X) is uniformly convex if and only if both spaces E and X are uniformly convex. It is the uniform convexity that is the focal point.

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