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Geometry and probability in Banach spaces. (English) Zbl 0555.46007

This paper is a short survey of several results concerning \(L^ P\)- spaces, p-summing operators, the theory of type and cotype, and other super-properties such as superreflexivity.
Reviewer: G.Pisier

MSC:

46B20 Geometry and structure of normed linear spaces
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
60B11 Probability theory on linear topological spaces
46B25 Classical Banach spaces in the general theory
46B10 Duality and reflexivity in normed linear and Banach spaces
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