Operator theory on noncommutative polydomains. I

DOI10.1007/978-3-031-50535-5_25MaRDI QIDQ6610409

Publication date: 25 September 2024

$C^*$-algebras Fock spaces multivariable operator theory noncommutative Hardy algebras noncommutative polydomains universal operator models

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Dilations, extensions, compressions of linear operators (47A20) Noncommutative function spaces (46L52) Decomposition theory for (C^*)-algebras (46L45)

Cites Work

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An invariant subspace theorem and invariant subspaces of analytic reproducing kernel Hilbert spaces. II
A Beurling type theorem in weighted Bergman spaces
The Bohr radius of the $n$-dimensional polydisk is equivalent to $\sqrt{(\log n) / n}$
Proper analytic free maps
The isomorphism problem for some universal operator algebras
The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
Bohr radii of vector valued holomorphic functions
Models for n-tuples of noncommuting operators
Characteristic function of a pure commuting contractive tuple
Free holomorphic functions on the unit ball of $B(\mathcal H)^n$. II
Free holomorphic functions on the unit ball of $B(\mathbb H)^n$
Free holomorphic functions and interpolation
Noncommutative ball maps
The Arveson extension theorem and coanalytic models
Models for noncommuting operators
Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
Subalgebras of $C^*$-algebras. III: Multivariable operator theory
Poisson transforms on some $C^*$-algebras generated by isometries
The algebraic structure of non-commutative analytic Toeplitz algebras
Über einen Satz von Herrn Bohr.
A theorem concerning power series.
Multiplier algebras of complete Nevanlinna-Pick spaces: dilations, boundary representations and hyperrigidity
Bohr inequalities for free holomorphic functions on polyballs
Similarity problems and completely bounded maps
Functional calculus for noncommuting operators
Multi-analytic operators on Fock spaces
Noncommutative interpolation and Poisson transforms
Submodules in polydomains and noncommutative varieties
Bergman spaces over noncommutative domains and commutant lifting
Brown-Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs
Blaschke-singular-outer factorization of free non-commutative functions
Beurling quotient modules on the polydisc
Algebras of noncommutative functions on subvarieties of the noncommutative ball: the bounded and completely bounded isomorphism problem
An operator-valued Berezin transform and the class of $n$-hypercontractions
Dilations, wandering subspaces, and inner functions
Bohr inequalities on noncommutative polydomains
Berezin transforms on noncommutative varieties in polydomains
Noncommutative Berezin transforms and multivariable operator model theory
A characteristic operator function for the class of $n$-hypercontractions
Harmonic analysis of operators on Hilbert space
Noncommutative interpolation and Poisson transforms. II
The structure of free semigroup algebra
The implicit function theorem and free algebraic sets
Berezin transforms on noncommutative polydomains
Foundations of Free Noncommutative Function Theory
Wandering vectors and the reflexivity of free semigroup algebras
Isometric Dilations for Infinite Sequences of Noncommuting Operators
ON BOHR'S INEQUALITY
On models for linear operators
Column extreme multipliers of the Free Hardy Space
Local theory of free noncommutative functions: germs, meromorphic functions, and Hermite interpolation
Free holomorphic automorphisms of the unit ball of B(ℋ) n
Entropy and multivariable interpolation
EXTENSIONS OF BOHR'S INEQUALITY
Pick Interpolation for free holomorphic functions
Operator theory on noncommutative domains
Multivariable Bohr inequalities
Unitary invariants in multivariable operator theory
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
Bohr’s power series theorem in several variables
The curvature invariant of a Hilbert module over ℂ [z1, ..., zd]
A multiplier algebra functional calculus
Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball
Analytic models for commuting operator tuples on bounded symmetric domains
Standard operator models in the polydisc, II
The structure of an isometric tuple
Multidimensional analogues of Bohr’s theorem on power series
Global Holomorphic Functions in Several Noncommuting Variables
Characterization of Invariant subspaces in the polydisc
An invariant subspace theorem and invariant subspaces of analytic reproducing kernel Hilbert spaces. I
Operator theory on noncommutative varieties
Operator algebras for analytic varieties
The existence of invariant subspaces
Lax-Phillips scattering and conservative linear systems: a Cuntz-algebra multidimensional setting
Curvature invariant for Hilbert modules over free semigroup algebras

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