The analytic model of a subnormal operator

DOI10.1007/BF01199080zbMath0645.47020MaRDI QIDQ1103167

Daoxing Xiao

Publication date: 1987

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

zbMATH Keywords

minimal normal extensionpure subnormal operatorclosure of the range of the self-commutatorthe mosaic is a completely unitary invariant

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (16)

Analytic theory of subnormal operators ⋮ On pure subnormal operators with finite rank self-commutators and related operator tuples ⋮ A commutator formula for subnormal tuples of operators ⋮ Matrix construction of subnormal tuples of finite type. ⋮ The work of Pavlov on shift operators on a Riemann surface ⋮ A dual geometric theory for bundle shifts ⋮ A note on the complete unitary invariant for some subnormal operators ⋮ Trace formulas for almost commuting operators, cyclic cohomology and subnormal operators ⋮ A trace formula for subnormal operator tuples ⋮ Complete unitary invariant for some subnormal operator ⋮ A functional model for polynomially posinormal operators ⋮ Real separated algebraic curves, quadrature domains, Ahlfors type functions and operator theory ⋮ Xia's analytic model of a subnormal operator and its applications ⋮ Probabilistic norm of operators and resonance theorems ⋮ Trace formulas for a class of subnormal tuples of operators ⋮ A class of subnormal operators with finite rank self-commutators

Cites Work

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• Spectral theory of hyponormal operators
• On the analytic model of a class of hyponormal operators
• On the kernels associated with a class of hyponormal operators
• An integrality theorem for subnormal operators
• The analytic model of a hyponormal operator with rank one self-commutator
• Mosaics, principal functions, and mean motion in von Neumann algebras
• Complex geometry and operator theory

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