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On approximation in weighted spaces of continuous vector-valued functions

Published online by Cambridge University Press:  18 May 2009

Liaqat Ali Khan
Liaqat Ali Khan
Affiliation:
Department Of Mathematics, Faculty of Science, Garyounis University, P.O. Box 9480, Benghazi, Libya.
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The fundamental work on approximation in weighted spaces of continuous functions on a completely regular space has been done mainly by Nachbin ([5], [6]). Further investigations have been made by Summers [10], Prolla ([7], [8]), and other authors (see the monograph [8] for more references). These authors considered functions with range contained in the scalar field or a locally convex topological vector space. In the present paper we prove some approximation results without local convexity of the range space.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 29 , Issue 1 , January 1987 , pp. 65 - 68
Copyright
Copyright © Glasgow Mathematical Journal Trust 1987

References

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