Invariant structure preserving functions and an Oka-Weil Kaplansky density type theorem
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Publication:6146746
DOI10.2748/tmj.20220412arXiv2104.02104OpenAlexW3148931045MaRDI QIDQ6146746
Publication date: 15 January 2024
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.02104
Kaplansky density theoremnoncommutative function theoryOka-Weil theoreminvariant structure preserving functions
Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) Noncommutative function spaces (46L52)
Cites Work
- Unnamed Item
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- Matricial function theory and weighted shifts
- The convex Positivstellensatz in a free algebra
- Every convex free basic semi-algebraic set has an LMI representation
- The inverse function theorem and the Jacobian conjecture for free analysis
- Composition operators on noncommutative Hardy spaces
- Proper analytic free maps
- Noncommutative reproducing kernel Hilbert spaces
- Non-commutative holomorphic functions on operator domains
- Free holomorphic functions and interpolation
- Some counterexamples in nonselfadjoint algebras
- The \(K\)-moment problem for compact semi-algebraic sets
- Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes
- Cauchy transforms arising from homomorphic conditional expectations parametrize noncommutative Pick functions
- Interpolation and transfer-function realization for the noncommutative Schur-Agler class
- Bianalytic maps between free spectrahedra
- Über monotone Matrixfunktionen
- ``Positive noncommutative polynomials are sums of squares.
- Functions that preserve families of positive semidefinite matrices
- Non-commutative functional calculus
- Choquet order and hyperrigidity for function systems
- The outer spectral radius and dynamics of completely positive maps
- Noncommutative Choquet simplices
- Trace minmax functions and the radical Laguerre-Pólya class
- A panorama of positivity. I: Dimension free
- Connes' embedding conjecture and sums of Hermitian squares
- The tracial Hahn-Banach theorem, polar duals, matrix convex sets, and projections of free spectrahedra
- Über konvexe Matrixfunktionen
- Positive definite functions on spheres
- Plurisubharmonic noncommutative rational functions
- Noncommutative partial convexity via \(\Gamma\)-convexity
- Foundations of Free Noncommutative Function Theory
- Isometric Dilations for Infinite Sequences of Noncommuting Operators
- Positivstellensätze for noncommutative rational expressions
- A panorama of positivity. II: Fixed dimension
- Structured Noncommutative Multidimensional Linear Systems
- Free analysis questions II: The Grassmannian completion and the series expansions at the origin
- Von Neumann inequality for $(B(\mathscr{H})^n)_1$.
- Dilations, Inclusions of Matrix Convex Sets, and Completely Positive Maps
- A positivstellensatz for non-commutative polynomials
- Inner functions and zero sets for ℓ^{𝑝}_{𝐴}
- Inverse and Implicit Function Theorems for Noncommutative Functions on Operator Domains
- Representation of free Herglotz functions
- Global Holomorphic Functions in Several Noncommuting Variables
- Tracial smooth functions of non-commuting variables and the free Wasserstein manifold
- Operator Analysis
- On Invariant Subspaces and Reflexive Algebras
- Positive Linear Maps on C*-Algebras