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Complemented spaces of operators

Author(s): Ioana Ghenciu
Journal: Proc. Amer. Math. Soc. 133 (2005), 2621-2623.
MSC (2000): Primary 46B20, 46B28
Posted: April 19, 2005
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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: 10.1090/S0002-9939-05-07932-3
PII: S 0002-9939(05)07932-3
Keywords: Spaces of operators, complemented subspaces, compact operators, weakly compact operators, basic sequence
Received by editor(s): April 15, 2004
Posted: April 19, 2005
Communicated by: N. Tomczak-Jaegermann
Copyright of article: Copyright 2005, American Mathematical Society

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