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The range of an o-weakly compact mapping
Published online by Cambridge University Press: 09 April 2009
Abstract
It is shown that a weakly compact convex set in a locally convex space is a zonoform if and only if it is the order continuous image of an order interval in a Dedekind complete Riesz space. While this result implies the Kluv´nek characterization of the range of a vector measure, the techniques of the present paper are purely order theoretic.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 39 , Issue 3 , December 1985 , pp. 391 - 399
- Copyright
- Copyright © Australian Mathematical Society 1985
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