Factorization for finite subdiagonal algebras of type 1

DOI10.1007/S00013-022-01801-6OpenAlexW4309040736MaRDI QIDQ2699758

Ruihan Zhang, Guo Xing Ji

Publication date: 19 April 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01801-6

zbMATH Keywords

von Neumann algebrainner-outer factorizationnoncommutative \(H^p\) spacepartial \(BN\)-factorizationtype 1 subdiagonal algebra

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Noncommutative function spaces (46L52) Nonselfadjoint (sub)algebras in algebras with involution (46K50) Other nonselfadjoint operator algebras (47L75)

Related Items (1)

Beurling type representation for certain invariant subspaces of maximal subdiagonal algebras

Cites Work

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• A Beurling-Blecher-Labuschagne theorem for noncommutative Hardy spaces associated with semifinite von Neumann algebras
• Notes on non-commutative integration
• The Hardy spaces associated with a periodic flow on a von Neumann algebra
• Factorization in subdiagonal algebras
• Triangular forms of subdiagonal algebras
• Generalized s-numbers of \(\tau\)-measurable operators
• Subdiagonal algebras with Beurling type invariant subspaces
• Applications of the Fuglede-Kadison determinant: Szegö’s theorem and outers for noncommutative $H^p$
• Riesz and Szeg\"o type factorizations for noncommutative Hardy spaces
• Maximal Subdiagonal Algebras
• Analyticity in Operator Algebras
• Two Subspaces
• Maximality and finiteness of type 1 subdiagonal algebras

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