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Noncommutative Orlicz spaces associated to a state. II. (English) Zbl 1221.46065

Summary: We introduce and study the noncommutative Orlicz spaces associated to a normal faithful state on a semifinite von Neumann algebra. We also prove some convergence theorems for the (unbounded) trace measurable operators.
For Part I, cf.[Stud. Math. 180, No. 3, 199–209 (2007; Zbl 1126.46042)].

MSC:

46L52 Noncommutative function spaces
46L51 Noncommutative measure and integration
15A45 Miscellaneous inequalities involving matrices

Citations:

Zbl 1126.46042
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References:

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