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The order-dual of a TRL group, I

Part of: Special properties

Published online by Cambridge University Press:  09 April 2009

J. B. Miller
J. B. Miller
Affiliation:
Monash University Melbourne, Victoria 3168
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Abstract

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Conditions are found for several intrinsically defined partial orders on b, the vector space of order-bounded additive functionals on a commutative pogroup, to have Riesz interpolation properties, and to make b a TRL group.

MSC classification

Secondary: 54F05: Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 25 , Issue 2 , March 1978 , pp. 129 - 141
Copyright
Copyright © Australian Mathematical Society 1978

References

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