Entropy and multivariable interpolation

DOI10.1090/memo/0868zbMath1115.47016arXivmath/0312365OpenAlexW2032339610MaRDI QIDQ3413163

Gelu Popescu

Publication date: 4 January 2007

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312365

zbMATH Keywords

entropyinterpolationToeplitz operatorfree semigroupFock spacefactorisationcommutant liftingpositive definite kernelrow contractionisometric dilationanalytic operator

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

Related Items (27)

Fatou's theorem for non-commutative measures ⋮ Operator theory on noncommutative polydomains. I. ⋮ Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\) ⋮ Noncommutative rational Clark measures ⋮ Free biholomorphic functions and operator model theory ⋮ Sub-Hardy-Hilbert spaces in the non-commutative unit row ball ⋮ Free biholomorphic functions and operator model theory. II ⋮ Applications of the Fuglede-Kadison determinant: Szegö’s theorem and outers for noncommutative $H^p$ ⋮ Column extreme multipliers of the Free Hardy Space ⋮ Free holomorphic functions and interpolation ⋮ Free pluriharmonic majorants and commutant lifting ⋮ Interpolation by Contractive Multipliers Between Fock Spaces ⋮ Brown-Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs ⋮ Blaschke-singular-outer factorization of free non-commutative functions ⋮ Operator theory on noncommutative domains ⋮ Free holomorphic functions on the noncommutative polydomains and universal models ⋮ Noncommutative Berezin transforms and multivariable operator model theory ⋮ The inverse commutant lifting problem. I: Coordinate-free formalism ⋮ Characteristic functions and joint invariant subspaces ⋮ Invariant subspaces and operator model theory on noncommutative varieties ⋮ Multivariable Generalizations of the Schur Class: Positive Kernel Characterization and Transfer Function Realization ⋮ Noncommutative transforms and free pluriharmonic functions ⋮ Multi-Toeplitz operators and free pluriharmonic functions ⋮ Constrained characteristic functions, multivariable interpolation, and invariant subspaces ⋮ The Smirnov classes for the Fock space and complete Pick spaces ⋮ Unitary invariants on the unit ball of $B(\mathcal {H})^n$ ⋮ Functional models and minimal contractive liftings

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