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Approximation in function modules

Published online by Cambridge University Press:  17 April 2009

Fowzi Ahmed Sejeeni
Fowzi Ahmed Sejeeni
Affiliation:
Department of Mathematical Science, Umm Al Qura University, Makkah, Saudi Arabia
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Abstract

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We investigate the existence of best approximation of an element α in a function module from a subfunction module whose fibers satisfy the intersection property of balls. Also we investigate the lower semicontinuity of the metric projection associated with such a subfunction module.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 2 , April 1991 , pp. 295 - 302
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Behrends, E., M-structure and the Banach Stone Theorem: Lecture Notes in Math. 736 (Springer-Verlag, New York, 1979).CrossRefGoogle Scholar
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