Realizations of non-commutative rational functions around a matrix centre. II: The lost-abbey conditions
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Publication:2108019
DOI10.1007/s00020-022-02718-zOpenAlexW3087544420MaRDI QIDQ2108019
Publication date: 19 December 2022
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.08527
Semidefinite programming (90C22) Infinite-dimensional and general division rings (16K40) Multivariable systems, multidimensional control systems (93C35) Free probability and free operator algebras (46L54) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)
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Cites Work
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- Aspects of non-commutative function theory
- Progress in noncommutative function theory
- Every convex free basic semi-algebraic set has an LMI representation
- Analytic mappings between noncommutative pencil balls
- Proper analytic free maps
- On the intersection of null spaces for matrix substitutions in a non-commutative rational formal power series
- On domains of noncommutative rational functions
- A general framwork for a multi-operator functional calculus
- 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
- Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting
- Two-dimensional linear systems
- Minimal factorization of matrix and operator functions
- Matrices de Hankel
- Matrix inequalities: A symbolic procedure to determine convexity automatically
- On universal fields of fractions for free algebras
- Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem
- Applications of realizations (aka linearizations) to free probability
- Matrix coefficient realization theory of noncommutative rational functions
- Quasideterminants
- Determinants of matrices over noncommutative rings
- ``Positive noncommutative polynomials are sums of squares.
- Noncommutative rational functions, their difference-differential calculus and realizations
- Malcev-Neumann series and the free field
- Noncommutative polynomials describing convex sets
- A standard form in (some) free fields: how to construct minimal linear representations
- Conservative dilations of dissipative multidimensional systems: the commutative and non-commutative settings
- On the factorization of non-commutative polynomials (in free associative algebras)
- Rational identities and applications to algebra and geometry
- Foundations of Free Noncommutative Function Theory
- Free Probability Theory
- Free Random Variables
- Minimal state-space realization for a class of linear, discrete, nD, SISO systems
- Automata Studies. (AM-34)
- On the definition of a family of automata
- On the Embedding of Rings in Skew Fields
- Local theory of free noncommutative functions: germs, meromorphic functions, and Hermite interpolation
- Realizations of non‐commutative rational functions around a matrix centre, I: synthesis, minimal realizations and evaluation on stably finite algebras
- Free holomorphic automorphisms of the unit ball of B(ℋ) n
- Structured Noncommutative Multidimensional Linear Systems
- Pick Interpolation for free holomorphic functions
- Free analysis questions II: The Grassmannian completion and the series expansions at the origin
- Fields of Fractions for Group Algebras of Free Groups
- Sur divers produits de séries formelles
- Division Rings and Group von Neumann Algebras
- A Normal Form in Free Fields
- ON THE CONSTRUCTION OF THE FREE FIELD
- On formal power series representations for uncertain systems
- Linearizing the word problem in (some) free fields
- Stabilization of uncertain linear systems: an LFT approach
- Global Holomorphic Functions in Several Noncommuting Variables
- Free convex sets defined by rational expressions have LMI representations
- Polynomials in Asymptotically Free Random Matrices
- Division Rings of Fractions for Group Rings
- The Embedding of Firs in Skew Fields
- Functions of several noncommuting variables
- Coproducts and Some Universal Ring Constructions
- Model reduction of multidimensional and uncertain systems
- Lax-Phillips scattering and conservative linear systems: a Cuntz-algebra multidimensional setting
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