The Uncomplemented Spaces $W(X,Y)$ and $K(X,Y)$
Printed: Mar 2010
Classical results of Kalton and techniques of Feder are used to study the complementation of the space $W(X, Y)$ of weakly compact operators and the space $K(X,Y)$ of compact operators in the space $L(X,Y)$ of all bounded linear maps from X to Y.
spaces of operators, complemented subspace, weakly compact operator, basic sequence
46B28 - Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20]
46B15 - Summability and bases [See also 46A35]
46B20 - Geometry and structure of normed linear spaces