The range of an o-weakly compact mapping

P. G. Dodds

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    1 Citation (Scopus)


    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 languageEnglish
    Pages (from-to)391-399
    Number of pages9
    JournalJournal of the Australian Mathematical Society
    Issue number3
    Publication statusPublished - Dec 1985


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