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arXiv · 1409.0189

Noncommutative Orlicz spaces over W*-algebras

Ryszard Paweł Kostecki
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Abstract

Using the Falcone--Takesaki theory of noncommutative integration and Kosaki's canonical representation, we construct a family of noncommutative Orlicz spaces that are associated to an arbitrary W*-algebra without any choice of weight involved, and we show that this construction is functorial over the category of W*-algebras with *-isomorphisms as arrows. Under a choice of representation, these spaces are isometrically isomorphic to Kunze's noncommutative Orlicz spaces over crossed products.

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Ryszard Paweł Kostecki. 2014-08-31. Noncommutative Orlicz spaces over W*-algebras. https://arxiv.org/abs/1409.0189

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