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

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

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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 - 2017

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