Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball
From MaRDI portal
Publication:4691087
DOI10.1090/tran/7308zbMath1454.46058arXiv1702.03806OpenAlexW2603221563MaRDI QIDQ4691087
Guy Salomon, Eli Shamovich, Orr Moshe Shalit
Publication date: 18 October 2018
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.03806
Infinite-dimensional holomorphy (46G20) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Noncommutative function spaces (46L52)
Related Items (29)
Fatou's theorem for non-commutative measures ⋮ Operator theory on noncommutative polydomains. I. ⋮ Multivariable Beurling–Lax representations: the commutative and free noncommutative settings ⋮ Noncommutative partially convex rational functions ⋮ Von Neumann's inequality for row contractive matrix tuples ⋮ Plurisubharmonic noncommutative rational functions ⋮ Noncommutative partial convexity via \(\Gamma\)-convexity ⋮ Representations of \(C^*\)-algebras associated with noncommutative polyvarieties ⋮ Operator noncommutative functions ⋮ A polynomial approximation result for free Herglotz–Agler functions ⋮ Operator theory on noncommutative varieties in polydomains ⋮ Effective noncommutative Nevanlinna-Pick interpolation in the row ball, and applications ⋮ Bergman spaces over noncommutative domains and commutant lifting ⋮ Column extreme multipliers of the Free Hardy Space ⋮ Local theory of free noncommutative functions: germs, meromorphic functions, and Hermite interpolation ⋮ Interpolation by Contractive Multipliers Between Fock Spaces ⋮ Dilation theory: a guided tour ⋮ Blaschke-singular-outer factorization of free non-commutative functions ⋮ Toeplitz quotient \(C^*\)-algebras and ratio limits for random walks ⋮ On fixed points of self maps of the free ball ⋮ A de Branges-Beurling theorem for the full Fock space ⋮ Distance between reproducing kernel Hilbert spaces and geometry of finite sets in the unit ball ⋮ Algebras of noncommutative functions on subvarieties of the noncommutative ball: the bounded and completely bounded isomorphism problem ⋮ Bianalytic free maps between spectrahedra and spectraballs ⋮ Operators affiliated to the Free shift on the Free Hardy Space ⋮ Interpolating \(d\)-tuples of matrices ⋮ The Arveson boundary of a free quadrilateral is given by a noncommutative variety ⋮ Subinner-free outer factorizations on an annulus ⋮ Free outer functions in complete Pick spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Matricial function theory and weighted shifts
- Tensorial function theory: from Berezin transforms to Taylor's Taylor series and back
- Every convex free basic semi-algebraic set has an LMI representation
- Representations of Hardy algebras: Absolute continuity, intertwiners, and superharmonic operators
- The isomorphism problem for some universal operator algebras
- Topological isomorphisms for some universal operator algebras
- Hardy algebras, \(W^*\)-correspondences and interpolation theory
- Noncommutative reproducing kernel Hilbert spaces
- A Nullstellensatz with nilpotents and Zariski's Main Lemma on holomorphic functions
- A general framwork for a multi-operator functional calculus
- Models for n-tuples of noncommuting operators
- Subproduct systems
- Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)
- Non-commutative holomorphic functions on operator domains
- Function theory in the unit ball of \({\mathbb{C}}^ n\)
- Schur class operator functions and automorphisms of Hardy algebras
- Operator algebras of functions
- Addition of certain non-commuting random variables
- Models for noncommuting operators
- On intertwining dilations for sequences of noncommuting operators
- Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
- Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
- The algebraic structure of non-commutative analytic Toeplitz algebras
- Complete Nevanlinna-Pick kernels
- C*-envelopes of tensor algebras arising from stochastic matrices
- Interpolation and transfer-function realization for the noncommutative Schur-Agler class
- ``Positive noncommutative polynomials are sums of squares.
- Factorization and reflexivity of Fock spaces
- Functional calculus for noncommuting operators
- Multi-analytic operators on Fock spaces
- Non-commutative functions and the non-commutative free Lévy-Hinčin formula
- The matricial relaxation of a linear matrix inequality
- On the isomorphism question for complete Pick multiplier algebras
- Noncommutative interpolation and Poisson transforms
- Operator algebras and subproduct systems arising from stochastic matrices
- Multipliers of embedded discs
- Spaces of Dirichlet series with the complete Pick property
- Unitary dilations for commuting contractions
- The analytic-functional calculus for several commuting operators
- Harmonic analysis of operators on Hilbert space
- The implicit function theorem and free algebraic sets
- On the operator-valued analogues of the semicircle, arcsine and Bernoulli laws
- CUNTZ–PIMSNER ALGEBRAS FOR SUBPRODUCT SYSTEMS
- Foundations of Free Noncommutative Function Theory
- Chapter 8: Free Convex Algebraic Geometry
- Isometric Dilations for Infinite Sequences of Noncommuting Operators
- Covariant representations of subproduct systems
- Non-commutative automorphisms of bounded non-commutative domains
- A Generalization of Hilbert's Nullstellensatz
- Free holomorphic automorphisms of the unit ball of B(ℋ) n
- Pick Interpolation for free holomorphic functions
- Operator Theory and Function Theory in Drury–Arveson Space and Its Quotients
- Free analysis questions II: The Grassmannian completion and the series expansions at the origin
- Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
- Von Neumann inequality for $(B(\mathscr{H})^n)_1$.
- Standard Models for some Commuting Multioperators
- A Generalization of Von Neumann's Inequality to the Complex Ball
- On the Isomorphism Problem for Multiplier Algebras of Nevanlinna-Pick Spaces
- A positivstellensatz for non-commutative polynomials
- Non-commutative disc algebras and their representations
- Global Holomorphic Functions in Several Noncommuting Variables
- Multipliers and essential norm on the Drury-Arveson space
- The Isomorphism Problem for Complete Pick Algebras: A Survey
- Operator theory on noncommutative varieties
- Bounded Analytic Functions
- Operator algebras for analytic varieties
- Functions of several noncommuting variables
- Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
- CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond
This page was built for publication: Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball
