Noncommutative ball maps
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Publication:1028334
DOI10.1016/j.jfa.2009.03.008zbMath1179.47012arXiv0809.4874OpenAlexW2003511415MaRDI QIDQ1028334
Igor Klep, J. William Helton, Nick Slinglend, Scott A. McCullough
Publication date: 30 June 2009
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.4874
Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)
Related Items (22)
Monotonicity of the principal pivot transform ⋮ Operator theory on noncommutative polydomains. I. ⋮ Aspects of non-commutative function theory ⋮ Free holomorphic functions on the unit ball of \(B(\mathcal H)^n\). II ⋮ Function theory from tensor algebras ⋮ Tensorial function theory: from Berezin transforms to Taylor's Taylor series and back ⋮ Free functions with symmetry ⋮ Non-commutative Carathéodory interpolation ⋮ Composition operators on noncommutative Hardy spaces ⋮ Analytic mappings between noncommutative pencil balls ⋮ Proper analytic free maps ⋮ Progress in noncommutative function theory ⋮ Non-commutative holomorphic functions on operator domains ⋮ Free biholomorphic functions and operator model theory. II ⋮ Bianalytic maps between free spectrahedra ⋮ On fixed points of self maps of the free ball ⋮ Free Pick functions: representations, asymptotic behavior and matrix monotonicity in several noncommuting variables ⋮ Bounded real lemma and structured singular value versus diagonal scaling: the free noncommutative setting ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball ⋮ Convexity and Semidefinite Programming in Dimension-Free Matrix Unknowns ⋮ Bianalytic free maps between spectrahedra and spectraballs ⋮ The outer spectral radius and dynamics of completely positive maps
Cites Work
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- Noncommutative convexity arises from linear matrix inequalities
- Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)
- Bounded real lemma for structured noncommutative multidimensional linear systems and robust control
- Schur class operator functions and automorphisms of Hardy algebras
- Free holomorphic functions and interpolation
- Free pluriharmonic majorants and commutant lifting
- The Poisson kernel for Hardy algebras
- Complements to models for noncommuting operators
- Noncommutative transforms and free pluriharmonic functions
- Carathéodory interpolation on the non-commutative polydisk
- Isometric Dilations for Infinite Sequences of Noncommuting Operators
- Mathematical Pearls: The Distinguished Boundary of the Unit Operator Ball
- Free holomorphic automorphisms of the unit ball of B(ℋ) n
- Free analysis questions II: The Grassmannian completion and the series expansions at the origin
- Hyperbolic geometry on the unit ball of $B(\mathcal{H})^{n}$ and dilation theory
- Unitary invariants in multivariable operator theory
- Carleman formulae with holomorphic kernels and their uniqueness properties
- A positivstellensatz for non-commutative polynomials
- Convex Matrix Inequalities Versus Linear Matrix Inequalities
- Non-commutative positive kernels and their matrix evaluations
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