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A note on k-uniformly convex spaces
Published online by Cambridge University Press: 24 October 2008
Abstract
In this short note we prove that Istrǎƫescu's notion of k-uniform (k-locally uniform) convexity of a Banach space is actually equivalent to the notion of uniform (locally uniform) convexity. Thus theorem 2 in [3] and theorem 2·6·28 in [2] are trivially true.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 3 , May 1985 , pp. 489 - 490
- Copyright
- Copyright © Cambridge Philosophical Society 1985