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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

2 votes

Martingale-cotype vs cotype on super-reflexive spaces

Let $X$ be a Banach space. Suppose that $X$ has UMD (hence super-refexive). It seems to me that the following equivalence is classical. Then $X$ is of cotype $q$ if and only if $X$ is $q$-uniformly c …
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6 votes
Accepted

Sz.-Nagy dilation for uniformly convex Banach spaces

The Akcoglu-Sucheston-Peller dilation theorem gives indeed a characterization of operators on a $L^p$-space with an isometric dilation on a $L^p$-space. These operators are the contractively regular o …
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