Strongly exposed points and a characterization of l<sub>1</sub> (Γ) by the Schur property
Polyrakis, Ioannis A.; Polyrakis Ioannis A.; National Technical University
Журнал:
Proceedings of the Edinburgh Mathematical Society
Дата:
1987
Аннотация:
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 l<sub>1</sub>(Γ): A Banach lattice X is order-isomorphic to l<sub>1</sub>(Γ) iff X has the Schur property and X* has quasi-interior positive elements.
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