Rademacher and Gaussian Averages and Rademacher Cotype of Operators between Banach Spaces
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چکیده
A basic result of B. Maurey and G. Pisier states that Gaussian and Rademacher averages in a Banach space X are equivalent if and only if X has finite cotype. We complement this for linear bounded operators between Banach spaces. For T ∈ L(X, Y ), let %(T |Gn,Rn) be the least c such that ( E‖ n ∑ k=1 Txkgk‖ )1/2 ≤ c ( E‖ n ∑
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تاریخ انتشار 1999