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Strongly exposed points and a characterization of l1 (Γ) by the Schur property

Published online by Cambridge University Press:  20 January 2009

Ioannis A. Polyrakis
Ioannis A. Polyrakis
Affiliation:
National Technical University, Department of Mathematics, Zografou Campus 157 73, Athens, Greece
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In this paper we study the existence of strongly exposed points in unbounded closed and convex subsets of the positive cone of ordered Banach spaces and we prove the following characterization for the space l1(Γ): A Banach lattice X is order-isomorphic to l1(Γ) iff X has the Schur property and X* has quasi-interior positive elements.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 3 , October 1987 , pp. 397 - 400
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

REFERENCES

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