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B-convexity of the space of 2-summing operators

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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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  1. Department of Mathematics, The Ohio State University, 43210, Columbus, Ohio, USA

    Pei-Kee Lin

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  1. Pei-Kee Lin
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Lin, PK. B-convexity of the space of 2-summing operators. Israel J. Math. 37, 139–150 (1980). https://doi.org/10.1007/BF02762875

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