Logmodularity and isometries of operator algebras

DOI10.1090/S0002-9947-02-03195-1zbMath1026.46046arXivmath/0205159MaRDI QIDQ4787477

Louis E. Labuschagne, David P. Blecher

Publication date: 7 January 2003

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

Full work available at URL: https://arxiv.org/abs/math/0205159

zbMATH Keywords

logmodularitynoncommutative Shilov boundarycomplete isometries

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Abstract operator algebras on Hilbert spaces (47L30) Operator spaces and completely bounded maps (46L07) Linear composition operators (47B33) Noncommutative function spaces (46L52) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (15)

Isometries of absolute order unit spaces ⋮ Factorization properties of subdiagonal algebras ⋮ Isometries of the Toeplitz matrix algebra ⋮ Analytic mappings between noncommutative pencil balls ⋮ Operator algebras with the partial factorization property ⋮ On a class of subdiagonal algebras ⋮ Applications of the Fuglede-Kadison determinant: Szegö’s theorem and outers for noncommutative $H^p$ ⋮ Some new equivalences of Anderson’s paving conjectures ⋮ Some properties of semifinite tracial subalgebras ⋮ Toeplitz and Hankel operators associated with subdiagonal algebras ⋮ Representations of logmodular algebras ⋮ On vector-valued characters for noncommutative function algebras ⋮ Semicrossed products of operator algebras by semigroups ⋮ Characterization of subdiagonal algebras ⋮ Von Neumann algebra conditional expectations with applications to generalized representing measures for noncommutative function algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isometries of non-self-adjoint operator algebras
• Analytic functions and logmodular Banach algebras
• Factorization in analytic operator algebras
• Injective envelopes of operator systems
• The completely positive lifting problem for \(C^*\)-algebras
• Finite rank approximation and semidiscreteness for linear operators
• Modules over operator algebras, and the maximal \(C^*\)-dilation
• Composition operators on non-commutative \(L_p\)-spaces
• Subalgebras of \(C^ *\)-algebras
• Subalgebras of C\(^*\)-algebras. II
• Interpolations by bounded analytic functions and the corona problem
• Isometries of operator algebras
• Commutativity in Operator Algebras
• Isometric Images of C* Algebras
• Isometries of the Disc Algebra
• An Operator Space Characterization of Dual Operator Algebras
• Commutants of unitaries in UHF algebras and functorial properties of exactness.
• Operator Algebras with Contractive Approximate Identities
• Compact operators and the geometric structure of nest algebras
• Isomorphisms of function modules, and generalized approximation in modulus
• Linear isometries of subspaces of spaces of continuous functions
• Isomorphisms between commutative Banach algebras with an application to rings of analytic functions
• Analyticity in Operator Algebras
• Linear isometries between subspaces of continuous functions
• Analytic functions and Dirichlet problem
• On Non-Self-Adjoint Operator Algebras
• The Shilov boundary of an operator space and the characterization theorems
• Multipliers and dual operator algebras

This page was built for publication: Logmodularity and isometries of operator algebras