Geodesic
Orlicz spaces associated with a semi-finite von Neumann algebra
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 4, pp. 519-533.

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Let $M$ be a von Neumann algebra, let $\varphi$ be a weight on $M$ and let $\Phi$ be $N$-function satisfying the $(\delta_{2}, \Delta_{2})$-condition. In this paper we study Orlicz spaces, associated with $M$, $\varphi$ and $\Phi $.
Classification : 46L51, 46L52
Keywords: Orlicz spaces; von Neumann algebra; weight 
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Ayupov, Sh. A.; Chilin, V. I.; Abdullaev, R. Z. Orlicz spaces associated with a semi-finite von Neumann algebra. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 4, pp. 519-533. http://geodesic.mathdoc.fr/item/CMUC_2012__53_4_a1/