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

Schwartz, Laurent

Bull. Am. Math. Soc., New Ser. 4, 135-141 (1981).

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

Keywords:

\(L^ P\)-spaces; p-summing operators; type; cotype; super-properties; superreflexivity