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Extension of a Tight Set Function with Values in a Locally Convex Space

Published online by Cambridge University Press:  20 November 2018

Pedro Morales
Pedro Morales*
Affiliation:
Université de Montréal, Département de Mathématiques, Montréal, Canada
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The purpose of the paper is to extend a tight set function on a lattice with values in a locally convex space of special type to a measure on the cr-ring generated by . This result generalizes the extension theorem of Thomas [12, p. 151], which in turn contains the extension theorems of Pauc [9, p. 710], Fox [4, p. 525] and J. J. Uhl, Jr. [14, Corollary 2].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 5 , 01 December 1975 , pp. 699 - 702
Copyright
Copyright © Canadian Mathematical Society 1975

References

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