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

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

doi:10.1007/s11856-017-1585-9

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

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

Research output: Contribution to journal › Article › peer-review

5 Citations (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 language	English
Pages (from-to)	125-164
Number of pages	40
Journal	Israel Journal of Mathematics
Volume	222
Issue number	1
DOIs	https://doi.org/10.1007/s11856-017-1585-9
Publication status	Published - 1 Oct 2017

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

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