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 |
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Pages (from-to) | 4315-4355 |
Number of pages | 41 |
Journal | American Mathematical Society. Transactions |
Volume | 368 |
Issue number | 6 |
DOIs | |
Publication status | Published - 15 Sept 2015 |
Keywords
- Measurable operators
- uniformly absolutely continuous norm
- strongly symmetric spaces