Orlicz Spaces associated with a Semi-Finite Von Neumann Algebra
  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 $M.$ 
Sh. A. Ayupov, V.I. Chilin, R. Z. Abdullaev
math.OA