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Integral Representation by Boundary Vector Measures

Published online by Cambridge University Press:  20 November 2018

Paulette Saab
Paulette Saab*
Affiliation:
The University of British Columbia, Vancouver, B.C., CanadaV6T 1Y4
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Abstract

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In this paper we show that if X is a compact Hausdorff space, A is an arbitrary linear subspace of C(X, C), and if E is a Banach space, then each element L of (A ⊗ E)* can be represented by a boundary E*-valued vector measure of the same norm as L.

Keywords

46A5546E40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 2 , 01 June 1982 , pp. 164 - 168
Copyright
Copyright © Canadian Mathematical Society 1982

References

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