Invariant subspaces for H2 spaces of σ-finite algebras

DOI10.1112/BLMS.12009zbMath1404.46055arXiv1604.01968OpenAlexW3122836002MaRDI QIDQ5357046

Louis E. Labuschagne

Publication date: 13 September 2017

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01968

zbMATH Keywords

invariant subspacesstatevon Neumann algebrasGleason-Whitney theorem

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Invariant subspaces of linear operators (47A15) Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52) Nonselfadjoint (sub)algebras in algebras with involution (46K50)

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A Beurling-Blecher-Labuschagne type theorem for Haagerup noncommutative \(L^p\) spaces ⋮ Ueda’s peak set theorem for general von Neumann algebras ⋮ Beurling type representation for certain invariant subspaces of maximal subdiagonal algebras ⋮ On a class of subdiagonal algebras ⋮ Unnamed Item ⋮ Real Positive Maps and Conditional Expectations on Operator Algebras ⋮ Von Neumann algebra conditional expectations with applications to generalized representing measures for noncommutative function algebras ⋮ Subdiagonal algebras with Beurling type invariant subspaces ⋮ Interpolation of Haagerup noncommutative Hardy spaces ⋮ Maximality and finiteness of type 1 subdiagonal algebras

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