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Duality and geometry of spaces of compact operators. (English) Zbl 0573.46007
Functional analysis: surveys and recent results III, Proc. Conf., Paderborn/Ger. 1983, North-Holland Math. Stud. 90, 59-78 (1984).
[For the entire collection see Zbl 0539.00012.]
In this survey article the author considers hereditary properties between two Banach spaces X, Y and the space K(X,Y) of compact linear operators from X into Y. Topics as reflexivity, the Radon-Nikodym property, weak compactness, extreme points of the unit ball are treated. Some proofs are given and for each result the author quotes the source. Thus this paper is a good guide for a reader who is interested in properties of spaces of compact operators.
Reviewer: M.Möller

MSC:
46A32 Spaces of linear operators; topological tensor products; approximation properties
47L05 Linear spaces of operators
47L07 Convex sets and cones of operators
47L10 Algebras of operators on Banach spaces and other topological linear spaces