The Rademacher cotype of operators from l∞N
Stephen J. Montgomery-Smith, Michel Talagrand
Abstract
We show that for any operator T:l∞N Y, where Y is a Banach space, that its cotype 2 constant, K2(T), is related to its (2,1)-summing norm, π2,1(T), by K2(T) c N π2,1(T) . Thus, we can show that there is an operator T:C(K) Y that has cotype 2, but is not 2-summing.
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