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Noncommutative Orlicz spaces over W*-alg...
Kostecki, Ryszard Pa...
Noncommutative Orlicz spaces over W*-algebras by Kostecki, Ryszard Paweł ( Author )
Australian National University
06-09-2023
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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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1409.0189
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