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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Complemented spaces of operators


Author: Ioana Ghenciu
Journal: Proc. Amer. Math. Soc. 133 (2005), 2621-2623
MSC (2000): Primary 46B20, 46B28
DOI: https://doi.org/10.1090/S0002-9939-05-07932-3
Published electronically: April 19, 2005
MathSciNet review: 2146207
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Abstract: Classical results of Kalton 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 bounded linear operators from $X$ to $Y$.


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Additional Information

Ioana Ghenciu
Affiliation: Department of Mathematics, University of North Texas, Box 311430, Denton, Texas 76203-1430
Address at time of publication: Department of Mathematics, University of Wisconsin–River Falls, 204 D North Hall, River Falls, Wisconsin 54022-5001
Email: ig0007@unt.edu

DOI: https://doi.org/10.1090/S0002-9939-05-07932-3
Keywords: Spaces of operators, complemented subspaces, compact operators, weakly compact operators, basic sequence
Received by editor(s): April 15, 2004
Published electronically: April 19, 2005
Communicated by: N. Tomczak-Jaegermann
Article copyright: © Copyright 2005 American Mathematical Society