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

Published online by Cambridge University Press:  20 November 2018

Paul Lewis
Paul Lewis*
Affiliation:
Department of Mathematics, University of North Texas, Box 311430, Denton, TX 76203-1430, USA e-mail: lewis@unt.edu
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Abstract

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Classical results of Kalton and techniques of Feder are used to study the complementation of the space $W\left( X,\,Y \right)$ of weakly compact operators and the space $K\left( X,\,Y \right)$ of compact operators in the space $L\left( X,\,Y \right)$ of all bounded linear maps from $X$ to $Y$.

Keywords

46B2846B1546B20spaces of operatorscomplemented subspaceweakly compact operatorbasic sequence
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 1 , 01 March 2010 , pp. 118 - 121
Copyright
Copyright © Canadian Mathematical Society 2010

References

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