Generalized interpolation for type 1 subdiagonal algebras

DOI10.1007/S43037-024-00381-7MaRDI QIDQ6646859

Guoxing Ji, Xia Jiao

Publication date: 3 December 2024

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

interpolationvon Neumann algebranoncommutative \(H^p\) spacetype 1 subdiagonal algebra

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52) Representations of (nonselfadjoint) operator algebras (47L55) Nonselfadjoint (sub)algebras in algebras with involution (46K50)

Cites Work

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• A noncommutative version of \(H ^{p }\) and characterizations of subdiagonal algebras
• Analytic Toeplitz algebras and the Hilbert transform associated with a subdiagonal algebra
• Characterizations of noncommutative \(H^\infty\)
• Factorization in subdiagonal algebras
• Subdiagonal algebras with Beurling type invariant subspaces
• A Beurling-Blecher-Labuschagne type theorem for Haagerup noncommutative \(L^p\) spaces
• Factorization for finite subdiagonal algebras of type 1
• Noncommutative function theory and unique extensions
• Applications of the Fuglede-Kadison determinant: Szegö’s theorem and outers for noncommutative $H^p$
• Positive cones associated with a von Neumann algebra.
• Nonselfadjoint Crossed Products (Invariant Subspaces and Maximality)
• Generalized interpolation in finite maximal subdiagonal algebras
• Invariant subspaces for H2 spaces of σ-finite algebras
• Generalized Interpolation in H ∞
• Analyticity in Operator Algebras
• Maximality and finiteness of type 1 subdiagonal algebras
• Beurling type representation for certain invariant subspaces of maximal subdiagonal algebras

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