Comparing gaussian and Rademacher cotype for operators on the space of continuous functions
Marius Junge (1996)
Studia Mathematica
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We prove an abstract comparison principle which translates gaussian cotype into Rademacher cotype conditions and vice versa. More precisely, let 2 < q < ∞ and T: C(K) → F a continuous linear operator. (1) T is of gaussian cotype q if and only if , for all sequences with decreasing. (2) T is of Rademacher cotype q if and only if , for all sequences with decreasing. Our method allows a restriction to a fixed number of vectors and complements the corresponding results of...