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.
Keywords: Köthe-Bochner function space, uniform convexity.
Classification (MSC2000): 46E40; 35E10
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