Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators

Journal article (2015)

Authors

PG Dodds Flinders University
B. de Pagter Analysis - EEMCS
F. Sukochev University of New South Wales
Research Group
Analysis (EEMCS) (TU Delft)
Measurable operators Uniformly absolutely continuous norm Strongly symmetric spaces
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Published Date

15-09-2015

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

We characterise sets of uniformly absolutely continuous norm in strongly symmetric spaces of τ-measurable operators. Applications are given to the study of relatively weakly compact and relatively compact sets and to compactness properties of operators dominated in the sense of complete positivity by compact or by Dunford-Pettis operators.