Noncommutative function theory and unique extensions

DOI10.4064/sm178-2-4zbMath1121.46048arXivmath/0603437OpenAlexW2062762662MaRDI QIDQ3414852

Louis E. Labuschagne, David P. Blecher

Publication date: 10 January 2007

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603437

zbMATH Keywords

finite von Neumann algebrasnoncommutative Hardy spacesunique extensionsubdiagonal operator algebraF. \& M. Riesz theorem

Mathematics Subject Classification ID

Dual algebras; weakly closed singly generated operator algebras (47L45) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52) Nonselfadjoint (sub)algebras in algebras with involution (46K50) Other nonselfadjoint operator algebras (47L75)

Related Items (18)

Duality for symmetric Hardy spaces of noncommutative martingales ⋮ Ueda’s peak set theorem for general von Neumann algebras ⋮ On interpolation of noncommutative symmetric Hardy spaces ⋮ Beurling type representation for certain invariant subspaces of maximal subdiagonal algebras ⋮ The Hoffman-Rossi theorem for operator algebras ⋮ A noncommutative version of \(H ^{p }\) and characterizations of subdiagonal algebras ⋮ On a class of subdiagonal algebras ⋮ Unnamed Item ⋮ 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 ⋮ Representations of logmodular algebras ⋮ On vector-valued characters for noncommutative function algebras ⋮ On peak phenomena for non-commutative \(H^\infty\) ⋮ Szegő and Widom theorems for finite codimensional subalgebras of a class of uniform algebras ⋮ Analytic functionals for the non-commutative disc algebra ⋮ Von Neumann algebra conditional expectations with applications to generalized representing measures for noncommutative function algebras ⋮ Subdiagonal algebras with Beurling type invariant subspaces ⋮ Maximality and finiteness of type 1 subdiagonal algebras

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