On non-commutative Hardy spaces associated with flows on finite von Neumann algebras

DOI10.2748/tmj/1178240495zbMath0392.46044OpenAlexW2092777117MaRDI QIDQ1251788

Kichi-Suke Saito

Publication date: 1977

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178240495

zbMATH Keywords

Beurling's TheoremFlows on Finite Von Neumann AlgebrasInvariant Faithful Normal Finite TraceNoncommutative Hardy SpacesSigma-Weakly Continuous One- Parameter Group Of *-AutomorphismsWiener's Theorem

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (11)

A Note on Invariant Subspaces for Finite Maximal Subdiagonal Algebras ⋮ Nonselfadjoint Crossed Products (Invariant Subspaces and Maximality) ⋮ Quotient-bounded elements in locally convex algebras. II ⋮ Duality for symmetric Hardy spaces of noncommutative martingales ⋮ On interpolation of noncommutative symmetric Hardy spaces ⋮ Reflexive operator algebras on non-commutative Hardy spaces ⋮ Nonselfadjoint subalgebras associated with compact Abelian group actions on finite von Neumann algebras ⋮ Invariant subspaces of operator algebras ⋮ Characterization of subdiagonal algebras ⋮ Invariant subspaces and cocyles in nonselfadjoint crossed products ⋮ Noncommutative Hardy space associated with semi-finite subdiagonal algebras

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