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

Journal article (2017)

Authors

B. de Pagter Analysis - EEMCS
PG Dodds University of New South Wales
F. Sukochev University of New South Wales
Research Group
Analysis (EEMCS) (TU Delft)
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Published Date

2017

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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).