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Cone characterization of reflexive Banach lattices

Published online by Cambridge University Press:  18 May 2009

Ioannis A. Polyrakis
Ioannis A. Polyrakis
Affiliation:
Department of Mathematics, National Technical University, Zografou Campus 15780 Athens, Greece e-mail: [email protected]
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Abstract

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We prove that a Banach lattice X is reflexive if and only if X+ does not contain a closed normal cone with an unbounded closed dentable base.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 37 , Issue 1 , January 1995 , pp. 65 - 67
Copyright
Copyright © Glasgow Mathematical Journal Trust 1995

References

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