m at h . FA ] 4 D ec 1 99 9 The Rademacher Cotype of Operators from l N ∞
نویسندگان
چکیده
We show that for any operator T : l N ∞ → Y , where Y is a Banach space, that its cotype 2 constant, K (2) (T), is related to its (2, 1)-summing norm, π 2,1 (T), by K (2) (T) ≤ c log log N π 2,1 (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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تاریخ انتشار 1999