Orlicz Spaces associated with a Semi-Finite Von Neumann Algebra
| Autor: | Ayupov, Sh. A., Chilin, V. I., Abdullaev, R. Z. |
|---|---|
| Rok vydání: | 2011 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In the present paper we introduce a certain class of non commutative Orlicz spaces, associated with arbitrary faithful normal locally-finite weights on a semi-finite von Neumann algebra $M.$ We describe the dual spaces for such Orlicz spaces and, in the case of regular weights, we show that they can be realized as linear subspaces of the algebra of $LS(M)$ of locally measurable operators affiliated with $M.$ Comment: 12 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|