Noncommutative 𝐻² spaces

DOI10.1090/S0002-9939-97-03590-9zbMath0869.46033OpenAlexW2337644951MaRDI QIDQ4333011

Michael Marsalli

Publication date: 19 February 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03590-9

zbMATH Keywords

Hardy spaceToeplitz operatorsToeplitz theoremharmonic conjugatescommutant lifting theoremNehari's theoremmaximal subdiagonal algebranoncommutative Lebesgue spacevon Neumann algebra with a faithful, finite, normal tracial state

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Linear spaces of operators (47L05)

Related Items (12)

Noncommutative Hardy-Lorentz spaces associated with semifinite subdiagonal algebras ⋮ Complex interpolation of noncommutative Hardy spaces associated with semifinite von Neumann algebras ⋮ Duality for symmetric Hardy spaces of noncommutative martingales ⋮ On interpolation of noncommutative symmetric Hardy spaces ⋮ A noncommutative version of \(H ^{p }\) and characterizations of subdiagonal algebras ⋮ Analytic Toeplitz algebras and the Hilbert transform associated with a subdiagonal algebra ⋮ Toeplitz and Hankel operators associated with subdiagonal algebras ⋮ Characterization of subdiagonal algebras ⋮ Toeplitz operators with noncommuting symbols ⋮ Paley's inequality for discrete groups ⋮ Strong connectedness of the invertibles in a finite subdiagonal algebra ⋮ Noncommutative Hardy space associated with semi-finite subdiagonal algebras

Cites Work

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• Notes on non-commutative integration
• Subnormal operator with a cyclic vector
• Simply invariant subspace theorems for antisymmetric finite subdiagonal algebras
• A non-commutative extension of abstract integration
• Toeplitz operators associated with analytic crossed products
• A Note on Invariant Subspaces for Finite Maximal Subdiagonal Algebras
• Hankel Operators Associated with Analytic Crossed Products
• Analyticity in Operator Algebras
• Formes linéaires sur un anneau d'opérateurs

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