p‐Uniform Convexity and q‐Uniform Smoothness of Absolute Normalized Norms on ℂ2

Tomonari Suzuki

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We first prove characterizations of p‐uniform convexity and q‐uniform smoothness. We next give a formulation on absolute normalized norms on ℂ2. Using these, we present some examples of Banach spaces. One of them is a uniformly convex Banach space which is not p‐uniformly convex.

Date: 2014
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https://doi.org/10.1155/2014/746309

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:746309

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