Open AccessSets of uniformly absolutely continuous norm in symmetric spaces of measurable operators
Author(s) -
P. 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) - compact space , mathematics , norm (philosophy) , operator norm , semantics (computer science) , compact operator , pure mathematics , type (biology) , algebra over a field , discrete mathematics , operator theory , computer science , programming language , ecology , political science , law , extension (predicate logic) , biology
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.