Models for n-tuples of noncommuting operators

DOI10.1016/0022-1236(84)90098-3zbMath0558.47004OpenAlexW2081504050MaRDI QIDQ762738

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90098-3

zbMATH Keywords

coisometric extension theorem de Branges-Rovnyak and Rota model theorems dilation theorems for non-commuting tuples of Hilbert space operators

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Structure theory of linear operators (47A65)

Related Items (62)

Operator theory on noncommutative polydomains. I. ⋮ Unnamed Item ⋮ On CNC commuting contractive tuples ⋮ de Branges–Rovnyak Spaces: Basics and Theory ⋮ Free holomorphic functions on the unit ball of $B(\mathbb H)^n$ ⋮ Finitely correlated representations of product systems of $C^{*}$-correspondences over $\mathbb N^k$ ⋮ The spectral picture and joint spectral radius of the generalized spherical Aluthge transform ⋮ The kernels of Hankel operators on the full Fock space ⋮ A note on doubly commuting tuples of hyponormal operators on Hilbert spaces ⋮ CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond ⋮ Geometric dilations and operator annuli ⋮ Unitary dilation of freely independent contractions ⋮ Commuting tuples of normal operators in Hilbert spaces ⋮ The isomorphism problem for some universal operator algebras ⋮ Free biholomorphic functions and operator model theory. II ⋮ Clark theory in the Drury-Arveson space ⋮ Isometric Dilations of Non-Commuting Finite Rank n-Tuples ⋮ Non-commutative disc algebras and their representations ⋮ Noncommutative interpolation and Poisson transforms ⋮ INDUCTION OF SEMIGROUPS OF ENDOMORPHISMS OF ${\mathfrak B} ({\mathfrak h})$ FROM COMPLETELY POSITIVE SEMIGROUPS OF (n × n) MATRIX ALGEBRAS ⋮ A caricature of dilation theory ⋮ Free pluriharmonic majorants and commutant lifting ⋮ Dilation theory for right LCM semigroup dynamical systems ⋮ Dilation theory: a guided tour ⋮ Operator theory on noncommutative domains ⋮ Free holomorphic functions on the noncommutative polydomains and universal models ⋮ Noncommutative Berezin transforms and multivariable operator model theory ⋮ On fixed points of self maps of the free ball ⋮ Regular dilation on graph products of $\mathbb{N}$ ⋮ On the topological stable rank of non-selfadjoint operator algebras ⋮ Curvature invariant for Hilbert modules over free semigroup algebras ⋮ Absolutely continuous representations and a Kaplansky density theorem for free semigroup algebras ⋮ Characteristic function for polynomially contractive commuting tuples ⋮ Characteristic functions and joint invariant subspaces ⋮ Applications of the Wold decomposition to the study of row contractions associated with directed graphs ⋮ Dilating covariant representations of the non-commutative disc algebras ⋮ The curvature invariant of a non-commuting $n$-tuple ⋮ Invariant subspaces and operator model theory on noncommutative varieties ⋮ Berezin transforms on noncommutative polydomains ⋮ Submodules in polydomains and noncommutative varieties ⋮ On joint spectral radius of commuting operators in Hilbert spaces ⋮ Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball ⋮ Minimal Cuntz--Krieger dilations and representations of Cuntz--Krieger algebras ⋮ Algebras of noncommutative functions on subvarieties of the noncommutative ball: the bounded and completely bounded isomorphism problem ⋮ Lifting fixed points of completely positive mappings ⋮ Noncommutative transforms and free pluriharmonic functions ⋮ Standard noncommuting and commuting dilations of commuting tuples ⋮ Operator algebras for multivariable dynamics ⋮ Joint normality of operators in semi-Hilbertian spaces ⋮ Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras ⋮ Interpolation problems in several variables ⋮ Constrained characteristic functions, multivariable interpolation, and invariant subspaces ⋮ Subalgebras of $C^*$-algebras. III: Multivariable operator theory ⋮ Free holomorphic automorphisms of the unit ball of B(ℋ) n ⋮ Joint numerical radius of spherical Aluthge transforms of tuples of Hilbert space operators ⋮ Structure of free semigroupoid algebras ⋮ Operator theory on noncommutative varieties, II ⋮ On closures of joint similarity orbits ⋮ Complements to models for noncommuting operators ⋮ Bounded characteristic functions and models for noncontractive sequences of operators. ⋮ Joint similarity and dilations for noncontractive sequences of operators. ⋮ Wavelet representations and Fock space on positive matrices

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