Blaschke-singular-outer factorization of free non-commutative functions
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Publication:2237356
DOI10.1016/j.aim.2021.107720zbMath1492.46056arXiv2001.04496OpenAlexW3140106495WikidataQ114211621 ScholiaQ114211621MaRDI QIDQ2237356
Eli Shamovich, R. T. W. Martin, Michael T. Jury
Publication date: 27 October 2021
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.04496
Fock spaceinner-outer factorizationnon-commutative Hardy spaceBlaschke-singular-outer factorizationnon-commutative analysis
Related Items (5)
Operator theory on noncommutative polydomains. I. ⋮ Multivariable Beurling–Lax representations: the commutative and free noncommutative settings ⋮ Operator noncommutative functions ⋮ Noncommutative rational Clark measures ⋮ Non-commutative rational functions in the full Fock space
Cites Work
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- Tensorial function theory: from Berezin transforms to Taylor's Taylor series and back
- Representations of Hardy algebras: Absolute continuity, intertwiners, and superharmonic operators
- Absolutely continuous representations and a Kaplansky density theorem for free semigroup algebras
- Hardy algebras, \(W^*\)-correspondences and interpolation theory
- On domains of noncommutative rational functions
- Noncommutative reproducing kernel Hilbert spaces
- A general framwork for a multi-operator functional calculus
- Free holomorphic functions on the unit ball of \(B(\mathcal H)^n\). II
- Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)
- Strong majorization in a free \(*\)-algebra.
- Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting
- Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
- The algebraic structure of non-commutative analytic Toeplitz algebras
- Geometry of free loci and factorization of noncommutative polynomials
- Applications of realizations (aka linearizations) to free probability
- Matrix coefficient realization theory of noncommutative rational functions
- Multipliers between invariant subspaces of the backward shift
- Factorization and reflexivity of Fock spaces
- Multi-analytic operators on Fock spaces
- Noncommutative rational functions, their difference-differential calculus and realizations
- Algebras of noncommutative functions on subvarieties of the noncommutative ball: the bounded and completely bounded isomorphism problem
- Operators affiliated to the Free shift on the Free Hardy Space
- Noncommutative transforms and free pluriharmonic functions
- Harmonic analysis of operators on Hilbert space
- Introduction to Model Spaces and their Operators
- Foundations of Free Noncommutative Function Theory
- Isometric Dilations for Infinite Sequences of Noncommuting Operators
- A Generalization of Hilbert's Nullstellensatz
- Column extreme multipliers of the Free Hardy Space
- Local theory of free noncommutative functions: germs, meromorphic functions, and Hermite interpolation
- Entropy and multivariable interpolation
- 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 $(B(\mathscr{H})^n)_1$.
- Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball
- A positivstellensatz for non-commutative polynomials
- Global Holomorphic Functions in Several Noncommuting Variables
- Non-commutative rational functions in the full Fock space
- Regular and positive noncommutative rational functions
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
- Functions of several noncommuting variables
- Theory of operator algebras I.
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