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arXiv · 1108.3267

Orlicz Spaces associated with a Semi-Finite Von Neumann Algebra

Sh. A. Ayupov·V. I. Chilin·R. Z. Abdullaev
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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 $M.$

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Sh. A. Ayupov, V. I. Chilin, R. Z. Abdullaev. 2011-08-16. Orlicz Spaces associated with a Semi-Finite Von Neumann Algebra. https://arxiv.org/abs/1108.3267

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