Tomonari Suzuki
Abstract
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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.
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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.
Key concepts: Algorithm, Banach space, Mathematics, Computer science, Discrete mathematics