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Isotone measures on groups

Published online by Cambridge University Press:  24 October 2008

W. Moran  and
J. H. Williamson
W. Moran
Affiliation:
University of Adelaide and University of York
J. H. Williamson
Affiliation:
University of Adelaide and University of York
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Extract

If E and F are ordered spaces, a map T: E → F is positive if

The map T is bi-positive if f ≥ 0 ⇔ Tf ≥ 0. It is a natural problem to seek information about the positive and bi-positive linear maps between pairs of ordered vector spaces. The present study is an attempt to elucidate one facet of this general problem (see, for example, (2), vol. II, § 16·7·1, p. 278).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 84 , Issue 1 , July 1978 , pp. 89 - 107
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

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