Aspects of non-commutative function theory
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Publication:283898
DOI10.1515/conop-2016-0003zbMath1337.32017arXiv1510.06669OpenAlexW2963992572MaRDI QIDQ283898
Publication date: 17 May 2016
Published in: Concrete Operators (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.06669
Related Items (5)
Von Neumann's inequality for row contractive matrix tuples ⋮ Local theory of free noncommutative functions: germs, meromorphic functions, and Hermite interpolation ⋮ A non-commutative Julia inequality ⋮ Realizations of non‐commutative rational functions around a matrix centre, I: synthesis, minimal realizations and evaluation on stably finite algebras ⋮ Realizations of non-commutative rational functions around a matrix centre. II: The lost-abbey conditions
Cites Work
- Unnamed Item
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- Tensorial function theory: from Berezin transforms to Taylor's Taylor series and back
- Every convex free basic semi-algebraic set has an LMI representation
- The inverse function theorem and the Jacobian conjecture for free analysis
- Free Pick functions: representations, asymptotic behavior and matrix monotonicity in several noncommuting variables
- Analytic mappings between noncommutative pencil balls
- Proper analytic free maps
- A general framwork for a multi-operator functional calculus
- Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)
- Non-commutative holomorphic functions on operator domains
- Free holomorphic functions and interpolation
- Noncommutative ball maps
- The \(K\)-moment problem for compact semi-algebraic sets
- ``Positive noncommutative polynomials are sums of squares.
- Realization and interpolation for Schur--Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\)
- Non-commutative functional calculus
- A joint spectrum for several commuting operators
- The analytic-functional calculus for several commuting operators
- The implicit function theorem and free algebraic sets
- Convexity and Semidefinite Programming in Dimension-Free Matrix Unknowns
- Free Analysis, Convexity and LMI Domains
- Foundations of Free Noncommutative Function Theory
- Free holomorphic automorphisms of the unit ball of B(ℋ) n
- Linear Matrix Inequalities in System and Control Theory
- A von Neumann type inequality for certain domains in $\mathbf C^n$
- A positivstellensatz for non-commutative polynomials
- A noncommutative real nullstellensatz corresponds to a noncommutative real ideal: Algorithms
- Convex Matrix Inequalities Versus Linear Matrix Inequalities
- Global Holomorphic Functions in Several Noncommuting Variables
- Free Biholomorphic Classification of Noncommutative Domains
- Functions of several noncommuting variables
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