Characterizations of noncommutative \(H^\infty\)

DOI10.1007/S00020-006-1425-5zbMath1120.46039arXivmath/0411591OpenAlexW2057510759MaRDI QIDQ860213

David P. Blecher, Louis E. Labuschagne

Publication date: 24 January 2007

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411591

zbMATH Keywords

factorisationfinite von Neumann algebrasnoncommutative Hardy spaceslogmodularitymaximal subdiagonal algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Dual algebras; weakly closed singly generated operator algebras (47L45)

Related Items (21)

Factorization properties of 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 ⋮ The noncommutative \(H^{(r,s)}_{p}({\mathcal A};\ell_{\infty})\) and \(H_{p}({\mathcal A};\ell_{1})\) spaces ⋮ Beurling type representation for certain invariant subspaces of maximal subdiagonal algebras ⋮ Operator algebras with the partial factorization property ⋮ A noncommutative version of \(H ^{p }\) and characterizations of subdiagonal algebras ⋮ On a class of subdiagonal algebras ⋮ Noncommutative vector-valued symmetric Hardy spaces ⋮ Unnamed Item ⋮ A Helson-Szegő theorem for subdiagonal subalgebras with applications to Toeplitz operators ⋮ Applications of the Fuglede-Kadison determinant: Szegö’s theorem and outers for noncommutative $H^p$ ⋮ Analytic Toeplitz algebras and the Hilbert transform associated with a subdiagonal algebra ⋮ Some properties of semifinite tracial subalgebras ⋮ Unnamed Item ⋮ Characterization of subdiagonal algebras ⋮ Subdiagonal algebras with Beurling type invariant subspaces ⋮ Conditional expectation on non-commutative \(H^{(r,s)}_p(\mathcal{A};\ell_{\infty})\) and \(H_p(\mathcal{A};\ell_1)\) spaces: semifinite case ⋮ Maximality and finiteness of type 1 subdiagonal algebras ⋮ Non-commutative HE(A;l∞) and HE(A;l1) spaces

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