B-convexity of the space of 2-summing operators

Abstract

If π2 (E, F), the class of 2-summing operators from E into F, is B-convex, then both E and F have cotype q for all q>2. On the other hand, if E is super-reflexive and has cotype 2, then π2(l 2, E) is super-reflexive. © 1980 The Weizmann Science Press of Israel.

Publication Title

Israel Journal of Mathematics

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