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Lattice Banach spaces, order-isomorphic to l1

Published online by Cambridge University Press:  24 October 2008

Ioannis A. Polyrakis
Ioannis A. Polyrakis
Affiliation:
Department of Mathematics, National Technical University of Athens, Patision 42, Greece
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Extract

It is known, (see [7], theorem 4 or [8], corollary II, 10.1), that a positive generated, ordered Banach space X is order-isomorphic to l1 iff X has a Schauder basis which generates its positive cone X+ and X+ has a bounded base.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 94 , Issue 3 , November 1983 , pp. 519 - 522
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

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