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 Kluvánek characterization of the range of a vector measure, the techniques of the present paper are purely order theoretic.
Original language | English |
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Pages (from-to) | 391-399 |
Number of pages | 9 |
Journal | Journal of the Australian Mathematical Society |
Volume | 39 |
Issue number | 3 |
DOIs | |
Publication status | Published - Dec 1985 |