Toeplitz corona and the Douglas property for free functions
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Publication:2347121
DOI10.1016/j.jmaa.2015.03.005zbMath1337.47006arXiv1411.1965OpenAlexW2962723251MaRDI QIDQ2347121
Publication date: 26 May 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.1965
Free probability and free operator algebras (46L54) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Algebras of holomorphic functions of several complex variables (32A38)
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Cites Work
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- Free Pick functions: representations, asymptotic behavior and matrix monotonicity in several noncommuting variables
- Proper analytic free maps
- A general framwork for a multi-operator functional calculus
- Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)
- Toeplitz corona theorems for the polydisk and the unit ball
- Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables
- On the Toeplitz Corona problem
- Fixed point theorems for noncommutative functions
- Noncommutative multivariable operator theory
- The corona theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in \(\mathbb C^{n}\)
- Bounded real lemma and structured singular value versus diagonal scaling: the free noncommutative setting
- Operator theory and the Oka extension theorem
- Factorization of analytic functions and operator inequalities
- The matrix-valued \(H^p\) Corona problem in the disk and polydisk
- Interpolations by bounded analytic functions and the corona problem
- Foundations of Free Noncommutative Function Theory
- Chapter 8: Free Convex Algebraic Geometry
- Free Random Variables
- Quasi-convex free polynomials
- Free holomorphic automorphisms of the unit ball of B(ℋ) n
- Pick Interpolation for free holomorphic functions
- Operator theory on noncommutative domains
- Free analysis questions II: The Grassmannian completion and the series expansions at the origin
- The Corona Theorem as an Operator Theorem
- Some Remarks on the Toeplitz Corona problem
- Global Holomorphic Functions in Several Noncommuting Variables
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
- The Cascade Loading of Passive Hilbert Ports
- Functions of several noncommuting variables
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