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

Peter Dodds; B de Pagter; Fyodor Sukochev

doi:10.1090/tran/6477

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

Peter Dodds, B de Pagter, Fyodor Sukochev

College of Science and Engineering

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

28 Citations (Scopus)

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.

Original language	English
Pages (from-to)	4315-4355
Number of pages	41
Journal	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume	368
Issue number	6
DOIs	https://doi.org/10.1090/tran/6477
Publication status	Published - Jun 2016

Keywords

Measurable operators
Strongly symmetric spaces
Uniformly absolutely continuous norm

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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.",

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

Abstract

Keywords

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