-Uniform Convexity and -Uniform Smoothness of Absolute Normalized Norms on

Tomonari Suzuki

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

We first prove characterizations of -uniform convexity and -uniform smoothness. We next give a formulation on absolute normalized norms on . Using these, we present some examples of Banach spaces. One of them is a uniformly convex Banach space which is not -uniformly convex.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:746309

DOI: 10.1155/2014/746309

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