Analytic functionals for the non-commutative disc algebra

DOI10.1016/j.jfa.2021.109306OpenAlexW3212295130MaRDI QIDQ2054285

Edward J. Timko, R. T. W. Martin, Raphaël Clouâtre

Publication date: 1 December 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.02130

zbMATH Keywords

Cuntz algebraanalytic functionalsF\&M Riesz theoremnon-commutative disc algebra

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52) Representations of (nonselfadjoint) operator algebras (47L55) Dual spaces of operator algebras (47L50)

Related Items

Non-commutative measure theory: Henkin and analytic functionals on \(\mathrm{C}^*\)-algebras

Cites Work

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• Duality, convexity and peak interpolation in the Drury-Arveson space
• Absolute continuity for commuting row contractions
• Absolutely continuous representations and a Kaplansky density theorem for free semigroup algebras
• Function theory in the unit ball of \({\mathbb{C}}^ n\)
• On peak phenomena for non-commutative \(H^\infty\)
• The Arveson extension theorem and coanalytic models
• Simple \(C^*\)-algebras generated by isometries
• Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
• The algebraic structure of non-commutative analytic Toeplitz algebras
• Multiplier algebras of complete Nevanlinna-Pick spaces: dilations, boundary representations and hyperrigidity
• A non-self-adjoint Lebesgue decomposition
• On global type \(II_ 1 W^ *\) algebras
• A-measures on complex manifolds and some applications
• Harmonic analysis of operators on Hilbert space
• The structure of free smigroup algebras
• Wandering vectors and the reflexivity of free semigroup algebras
• Isometric Dilations for Infinite Sequences of Noncommuting Operators
• Noncommutative function theory and unique extensions
• Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
• Von Neumann inequality for $(B(\mathscr{H})^n)_1$.
• On the Isomorphism Problem for Multiplier Algebras of Nevanlinna-Pick Spaces
• A multiplier algebra functional calculus
• Non-commutative disc algebras and their representations
• The structure of an isometric tuple
• Gelfand transforms and boundary representations of complete Nevanlinna–Pick quotients
• Operator theory on noncommutative varieties
• Bounded analytic functions in the unit disk
• \(C^*\)-algebras by example
• Theory of operator algebras I.