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

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

Journal Article (2015)

Author(s)

PG Dodds (Flinders University)

Ben de Pagter (TU Delft - Analysis)

Fedor Sukochev (University of New South Wales)

Measurable operators Uniformly absolutely continuous norm Strongly symmetric spaces

DOI related publication

https://doi.org/10.1090/tran/6477 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:48ea2fb1-c24c-43bb-a46c-7b7cb295b921

More Info

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Publication Year

2015

Language

English

Issue number

6

Volume number

368

Pages (from-to)

4315-4355

Downloads counter

142

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.