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Extension of Riesz homomorphisms.I

Part of: Topological linear spaces and related structures

Published online by Cambridge University Press:  09 April 2009

G. J. H. M. Buskes
G. J. H. M. Buskes
Affiliation:
School of Mathematical SciencesThe Flinders University of South AustraliaBedford Park, S.A. 5042, Australia
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Abstract

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In this paper we characterize boundedly laterally complete Riesz spaces, boundedly laterally complete Riesz spaces with the lateral boundedness property and Riesz spaces in which every principal ideal is finite dimensional. The characterizations are given in terms of extension properties of certain Riesz homomorphisms.

MSC classification

Secondary: 46A40: Ordered topological linear spaces, vector lattices
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 39 , Issue 1 , August 1985 , pp. 107 - 120
Copyright
Copyright © Australian Mathematical Society 1985

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