The Hardy spaces associated with a periodic flow on a von Neumann algebra

DOI10.2748/tmj/1178240696zbMath0344.46126OpenAlexW2053762554MaRDI QIDQ1232803

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/1178240696

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) General theory of von Neumann algebras (46L10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (11)

Analytic Operator Algebras (Factorization and an Expectation) ⋮ A Note on Invariant Subspaces for Finite Maximal Subdiagonal Algebras ⋮ Nonselfadjoint Crossed Products (Invariant Subspaces and Maximality) ⋮ Reflexive operator algebras on non-commutative Hardy spaces ⋮ Factorization for finite subdiagonal algebras of type 1 ⋮ Nonselfadjoint subalgebras associated with compact Abelian group actions on finite von Neumann algebras ⋮ Toeplitz operators associated with analytic crossed products ⋮ On non-commutative Hardy spaces associated with flows on finite von Neumann algebras ⋮ The Invariant Subspace Structure of Nonselfadjoint Crossed Products ⋮ A decomposition of reducing subspace for shift operators ⋮ Invariant subspaces for algebras of analytic operators associated with a periodic flow on a finite von Neumann algebra

Cites Work

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• On groups of automorphisms of operator algebras
• Spectra of ergodic transformations
• The structure of a von Neumann algebra with a homogeneous periodic state
• Fourier-Stieltjes transforms of measures on independent sets
• Reductive algebras and automorphism groups of von Neumann algebras
• Une classification des facteurs de type ${\rm III}$
• Analyticity in Operator Algebras

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