Operators Cauchy dual to 2-hyperexpansive operators: the multivariable case

DOI10.1007/s00020-012-1986-4zbMath1293.47005OpenAlexW1980238623MaRDI QIDQ1944856

Sameer Chavan, Raúl E. Curto

Publication date: 28 March 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-1986-4

zbMATH Keywords

subnormalCauchy dualhypercontractivegenerating tuplehyperexpansivemultiplicative dilation

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Dilations, extensions, compressions of linear operators (47A20) Structure theory of linear operators (47A65)

Related Items (13)

An operator-valued kernel associated with a commuting tuple of Hilbert space operators ⋮ Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems ⋮ Completely hyperexpansive tuples of finite order ⋮ Rigidity theorems for spherical hyperexpansions ⋮ Higher-order de Branges-Rovnyak and sub-Bergman spaces ⋮ On the Cauchy dual operator and duality for Banach spaces of analytic functions ⋮ Weakly concave operators ⋮ The Cauchy dual and 2-isometric liftings of concave operators ⋮ A moment problem and joint \(q\)-isometry tuples ⋮ On \((m, p)\)-expansive and \((m, p)\)-contractive operators on Hilbert and Banach spaces ⋮ Functional calculus for m-isometries and related operators on Hilbert spaces and Banach spaces ⋮ Completely monotone functions of finite order and Agler's conditions ⋮ Spherically balanced Hilbert spaces of formal power series in several variables. II

Cites Work

• Unnamed Item
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• \(m\)-isometric commuting tuples of operators on a Hilbert space
• Moment problems and subnormality
• Elementary operators on prime \(C^*\)-algebras. I
• On geometric spectral radius of commuting \(n\)-tuples of operators
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Completely hyperexpansive operator tuples
• The Dirac operator of a commuting \(d\)-tuple.
• Complete Nevanlinna-Pick property of Dirichlet-type spaces
• Wandering subspace theorems
• Complete hyperexpansivity, subnormality and inverted boundedness conditions.
• Toeplitz algebras, subnormal tuples and rigidity on reproducing \(C[z_{1},\dots ,z_{d}\)-modules]
• The spectral picture of Reinhardt measures
• Wold-type decompositions and wandering subspaces for operators close to isometries
• UNBOUNDED 2-HYPEREXPANSIVE OPERATORS
• Dilation theory yesterday and today
• Characterizations of subnormal operators
• Spectral Properties of Elementary Operators. II
• Invariant subspaces of the Dirichlet shift.
• Holomorphic Kernels and Commuting Operators
• On completely hyperexpansive operators
• Essential Spectra of Elementary Operators
• Standard Models for some Commuting Multioperators
• A Generalization of Von Neumann's Inequality to the Complex Ball
• A Transitivity Theorem for Algebras of Elementary Operators
• Elementary operators on prime C*-algebras II
• On a Minimal Normal Dilation Problem
• Interpolation by elementary operators
• The norm of a symmetric elementary operator
• The curvature invariant of a Hilbert module over ℂ [z1, ..., zd]
• The complete hyperexpansivity analog of the Embry conditions
• Standard operator models in the polydisc, II
• Co-analytic, right-invertible operators are supercyclic
• On operators close to isometries
• On operators Cauchy dual to 2-hyperexpansive operators: the unbounded case
• Approximation of Maps on C*-algebras by Completely Contractive Elementary Operators
• ON OPERATORS CAUCHY DUAL TO 2-HYPEREXPANSIVE OPERATORS
• The Joint Spectrum of Commuting Nonnormal Operators
• Theory of Reproducing Kernels

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