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Strict Topology on Paracompact Locally Compact Spaces

Published online by Cambridge University Press:  20 November 2018

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
Copyright
Copyright © Canadian Mathematical Society 1977

References

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