Ruess, Wolfgang 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 Cited in 14 Documents MathOverflow Questions: When does the dual to the space \(K(X)\) of compact operators consist of nuclear functionals? 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 Keywords:hereditary properties; space K(X,Y) of compact linear operators; reflexivity; Radon-Nikodym property; weak compactness; extreme points of the unit ball Citations:Zbl 0539.00012 PDFBibTeX XML