Orlicz Spaces associated with a Semi-Finite Von Neumann Algebra

Abstract

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 $M.$

12 pages

Cited by in corpus (2)

• W*-algebras and noncommutative integration
• Noncommutative Orlicz spaces over W*-algebras