Noncommutative Orlicz Spaces and Generalized Arens Algebras

DOI10.1002/mana.19901470114zbMath0746.46062OpenAlexW2002027571MaRDI QIDQ4712264

Wolfgang Kunze

Publication date: 25 June 1992

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19901470114

zbMATH Keywords

Luxemburg normnon-commutative Orlicz spacegeneralized Arens algebraequivalence of the Orlicz and the Luxemburg normssemifinite von Neumann algebra with a faithful semifinite normal traceYoung inequality for a pair of complementary Young functions

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (14)

Individual ergodic theorems in noncommutative Orlicz spaces ⋮ Maps on noncommutative Orlicz spaces ⋮ Closed subspaces and some basic topological properties of noncommutative Orlicz spaces ⋮ Monotone norms and Finsler structures in noncommutative spaces ⋮ Kadec-Klee property for convergence in measure of noncommutative Orlicz spaces ⋮ The exponential Orlicz space in quantum information geometry ⋮ Non-commutative Orlicz spaces associated to a modular on \(\tau\)-measurable operators ⋮ Noncommutative weighted individual ergodic theorems with continuous time ⋮ Noncommutative strong maximals and almost uniform convergence in several directions ⋮ On applications of Orlicz spaces to statistical physics ⋮ Additive derivations on generalized Arens algebras ⋮ Quantum Orlicz Spaces in Information Geometry ⋮ Noncommutative Orlicz spaces associated to a state. II ⋮ \(N\)-tuples of weighted noncommutative Orlicz space and some geometrical properties

Cites Work

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• Non-commutative L^P-spaces
• On a Class of Locally Convex Algebras
• Unbounded Operator Algebras
• Order Properties of Bounded Self-Adjoint Operators
• The space 𝐿^{𝜔} and convex topological rings

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