Abstract characterization of non-associative Orlicz spaces. (Russian) Zbl 0606.46044
Let A be a JBW-algebra admitting a faithful normal finite trace. Given a convex function \(M: {\mathbb{R}}^+\to {\mathbb{R}}^+\) the author defines the corresponding Orlicz space \(L_ M(A)\) in \(L^ 1(A)\). The characterization of Orlicz spaces is based on a structure called Banach ordered Jordan algebroid. No proofs are included.
Reviewer: D.Petz
MSC:
46L70 | Nonassociative selfadjoint operator algebras |
46L51 | Noncommutative measure and integration |
46L53 | Noncommutative probability and statistics |
46L54 | Free probability and free operator algebras |
46H70 | Nonassociative topological algebras |