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B-convexity of the space of 2-summing operators |
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| Authors: | Pei-Kee Lin |
| Institution: | (1) Department of Mathematics, The Ohio State University, 43210 Columbus, Ohio, USA |
| Abstract: | If π2 (E, F), the class of 2-summing operators fromE intoF, isB-convex, then bothE andF have cotypeq for allq>2. On the other hand, ifE is super-reflexive and has cotype 2, then π2(l 2,E) is super-reflexive. |
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