Analytic mappings between noncommutative pencil balls
From MaRDI portal
Publication:624600
DOI10.1016/j.jmaa.2010.11.040zbMath1210.47039arXiv0908.0742OpenAlexW2043314038MaRDI QIDQ624600
Igor Klep, J. William Helton, Scott A. McCullough
Publication date: 9 February 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.0742
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 (20)
Aspects of non-commutative function theory ⋮ Norm preserving extensions of holomorphic functions defined on varieties in \(\mathbb{C}^n\) ⋮ Function theory from tensor algebras ⋮ Tensorial function theory: from Berezin transforms to Taylor's Taylor series and back ⋮ Operator noncommutative functions ⋮ Proper analytic free maps ⋮ Non-commutative holomorphic functions on operator domains ⋮ Free biholomorphic functions and operator model theory. II ⋮ Implicit/inverse function theorems for free noncommutative functions ⋮ On fixed points of self maps of the free ball ⋮ Non-commutative functional calculus ⋮ Bounded real lemma and structured singular value versus diagonal scaling: the free noncommutative setting ⋮ The implicit function theorem and free algebraic sets ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball ⋮ Convexity and Semidefinite Programming in Dimension-Free Matrix Unknowns ⋮ Noncommutative reproducing kernel Hilbert spaces ⋮ Realizations of non‐commutative rational functions around a matrix centre, I: synthesis, minimal realizations and evaluation on stably finite algebras ⋮ Bianalytic free maps between spectrahedra and spectraballs ⋮ Nevanlinna-Pick Interpolation via Graph Spaces and Kreĭn-space Geometry: A Survey ⋮ Realizations of non-commutative rational functions around a matrix centre. II: The lost-abbey conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)
- Free holomorphic functions and interpolation
- Noncommutative ball maps
- Noncommutative transforms and free pluriharmonic functions
- 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
- Logmodularity and isometries of operator algebras
- Several Complex Variables and the Geometry of Real Hypersurfaces
- Convex Matrix Inequalities Versus Linear Matrix Inequalities
This page was built for publication: Analytic mappings between noncommutative pencil balls
