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Best approximation in L(X, Y)

Published online by Cambridge University Press:  24 October 2008

W. Deeb  and
R. Khalil
W. Deeb
Affiliation:
Department of Mathematics, Kuwait University, P.O. Box 5969, Kuwait
R. Khalil
Affiliation:
Department of Mathematics, Kuwait University, P.O. Box 5969, Kuwait
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Abstract

Let X, Y be Banach spaces and G a closed subspace of Y. Let L(X, Y) be the space of bounded linear operators from X into Y. In this paper we investigate when L(X, G) is proximal in L(X, Y). Further, we discuss the related problem of proximinality of L∞(T, G) in L∞(T, Y). We improve results obtained by Light and Cheney in this direction.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 3 , November 1988 , pp. 527 - 531
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

REFERENCES

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