Uniform convexity of unitary ideals |
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| Authors: | Nicole Tomczak-Jaegermann |
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| Institution: | (1) Department of Mathematics, The University of Alberta, T6G 2G1 Edmonton, Alberta, Canada |
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| Abstract: | ItE is a symmetric Banach sequence which isq-concave with the constant equal to 1 (where 2≦q<∞), thenS
E isq-PL-convex. IfE isq-concave andp-convex with the constants equal to 1 (where 1<p≦2≦q<∞), thenS
E is uniformly convex with modulus of convexity of power typeq and uniformly smooth with modulus of smoothness of power typep. |
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