Xia's analytic model of a subnormal operator and its applications

DOI10.1216/RMJ-2008-38-3-849zbMath1167.47017OpenAlexW2039420873MaRDI QIDQ1011038

Jim Gleason, C. Ray Rosentrater

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2008-38-3-849

zbMATH Keywords

mosaicinvariantssubnormal operatorsanalytic modelfinite rank self-commutator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items

A note on the complete unitary invariant for some subnormal operators

Cites Work

• Polynomial approximation on an arc in \(C^3\)
• The boundedness condition of dilation theory characterizes subnormals and contractions
• The analytic model of a hyponormal operator with rank one self-commutator
• Note on The analytic model of a hyponormal operator with rank one self commutator
• Analytic theory of subnormal operators
• The analytic model of a subnormal operator
• Singular and special points on quadrature domains from an algebraic geometric point of view
• Principal functions, index theory, geometric measure theory and function algebras
• A trace formula for subnormal operator tuples
• Complete unitary invariant for some subnormal operator
• Domains on which analytic functions satisfy quadrature identities
• Mosaics, principal functions, and mean motion in von Neumann algebras
• Subnormal operators of finite type. I: Xia's model and real algebraic curves in \(\mathbb{C}^2\)
• Pure subnormal operators have cyclic adjoints
• Subnormal operators of finite type. II: Structure theorems
• On a class of operators with finite rank self-commutators
• On the functional calculus for subnormal operators
• Trace formulas for a class of subnormal tuples of operators
• Subnormal operators with compact selfcommutator
• Subnormal operators and quadrature domains
• The commutant of rationally cyclic subnormal operators and rational approximation
• Subnormal operators, self-commutators, and pseudocontinuations
• Linear analysis of quadrature domains. II
• Hyponormal operators with finite rank self-commutators and quadrature domains
• A class of subnormal operators with finite rank self-commutators
• On pure subnormal operators with finite rank self-commutators and related operator tuples
• Linear analysis of quadrature domains
• Linear analysis of quadrature domains. III
• Subnormal operators and the Kaplansky density theorem
• Subnormal operators
• Characterizations of subnormal operators
• On the Normal Spectrum of a Subnormal Operator
• Essentially subnormal operators
• 𝐶*-algebras generated by a subnormal operator
• Tensor products of subnormal operators
• The Berger-Shaw theorem for cyclic subnormal operators
• Bounded Point Evaluations and Polynomials Approximation
• A Subnormal Operator and its Dual
• The essential selfcommutator of a subnormal operator
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item