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Absolute norms on vector lattices

Published online by Cambridge University Press:  20 January 2009

J. M. Borwein
Department of Mathematics, Statistics and Computing Science, Dalhousie UniversityHalifax, Nova ScotiaCanada B3H 4H8
D. T. Yost
Department of Mathematics, Institute of Advanced Studies, Australian National UniversityCanberra, Australia
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Recall that a norm and monotone if and monotone if If the norm is both absolute and monotone, itis called a Riesz norm. It is easy to show that a norm is Riesz if and only if whenever A Banach lattice is a vector lattice equipped with a complete Riesznorm.

Research Article
Copyright © Edinburgh Mathematical Society 1984


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