Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators
Peter G. DoddsSchool of Computer Science, Mathematics and Engineering, Flinders University, GPO Box 2100, Adelaide 5001, AustraliaB. de PagterDelft Institute of Applied Mathematics, Faculty EEMCS, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The NetherlandsFedor SukochevSchool of Mathematics and Statistics, University of New South Wales, Kensington 2052, New South Wales, Australia
2015en
ABI
Annotatsiya
We characterise sets of uniformly absolutely continuous norm in strongly symmetric spaces of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="tau"> <mml:semantics> <mml:mi> τ </mml:mi> <mml:annotation encoding="application/x-tex">\tau</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -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.
Hali tarjima qilinmagan
Identifikatorlar
Iqtiboslar va manbalar
6 ta iqtibos0 ta foydalanilgan manba