On weak* convergent sequences in duals of symmetric spaces of τ-measurable operators

B. de Pagter, P. G. Dodds, F. A. Sukochev

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    1 Citation (Scopus)

    Abstract

    It is shown that the pre-dual of a σ-finite von Neumann algebra has property (k) in the sense of Figiel, Johnson and Pelczyński [12]. This resolves in the affirmative an open question raised in [12]. It is shown further that a weakly sequentially complete symmetric space E of τ-measurable operators affiliated with a semifinite σ-finite von Neumann algebra has property (k).

    Original languageEnglish
    Pages (from-to)125-164
    Number of pages40
    JournalIsrael Journal of Mathematics
    Volume222
    Issue number1
    DOIs
    Publication statusPublished - 1 Oct 2017

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