On convexity properties of ψ-direct sums of Banach spaces |
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Authors: | Patrick N Dowling |
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Affiliation: | Department of Mathematics and Statistics, Miami University, Oxford, OH 45056, USA |
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Abstract: | The ψ-direct sum of Banach spaces is strictly convex (respectively, uniformly convex, locally uniformly convex, uniformly convex in every direction) if each of the Banach spaces are strictly convex (respectively, uniformly convex, locally uniformly convex, uniformly convex in every direction) and the corresponding ψ-norm is strictly convex. |
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