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Strict Topology on Paracompact Locally Compact Spaces

Published online by Cambridge University Press:  20 November 2018

Surjit Singh Khurana
Surjit Singh Khurana*
Affiliation:
The University of Iowa, Iowa City, Iowa
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Abstract

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In this paper, X denotes a Hausdorff paracompact locally compact space, E a Hausdorff locally convex space over K, the field of real or complex numbers (we call the elements of K scalars), a filtering upwards family of semi-norms on E generating the topology of E, Cb(X) the space of all continuous scalar-valued funcions on X, and Cb(X, E) the space of all continuous, bounded E-valued functions.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 1 , 01 February 1977 , pp. 216 - 219
Copyright
Copyright © Canadian Mathematical Society 1977

References

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