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The Uncomplemented Spaces $W(X,Y)$ and $K(X,Y)$

  Published:2009-12-04
 Printed: Mar 2010
  • Paul Lewis
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Abstract

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.
Keywords: spaces of operators, complemented subspace, weakly compact operator, basic sequence spaces of operators, complemented subspace, weakly compact operator, basic sequence
MSC Classifications: 46B28, 46B15, 46B20 show english descriptions Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20]
Summability and bases [See also 46A35]
Geometry and structure of normed linear spaces
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
 

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