Mathematics – Operator Algebras
Scientific paper
2011-08-16
Mathematics
Operator Algebras
12 pages
Scientific paper
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 $M.$
Abdullaev R. Z.
Ayupov Sh. A.
Chilin V. I.
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