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

Peter G. Dodds | Zendy; B. de Pagter | Zendy; Fedor Sukochev | Zendy

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

Author(s) -

Peter G. Dodds,

B. de Pagter,

Fedor Sukochev

Publication year - 2015

Publication title -

transactions of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.798

H-Index - 100

eISSN - 1088-6850

pISSN - 0002-9947

DOI - 10.1090/tran/6477

Subject(s) - mathematics , absolute continuity , norm (philosophy) , pure mathematics , measurable function , operator norm , mathematical analysis , operator theory , political science , law , bounded function

We characterise sets of uniformly absolutely continuous norm in strongly symmetric spaces of τ \tau -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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