On pure subnormal operators with finite rank self-commutators and related operator tuples

DOI10.1007/BF01195487zbMath0838.47017MaRDI QIDQ1906519

Daoxing Xiao

Publication date: 1 February 1996

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

zbMATH Keywords

\(n\)-tuple of commuting linear bounded operatorsmodel of a pure subnormal operator with finite rank self-commutatortrace class self-commutators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (9)

The work of Pavlov on shift operators on a Riemann surface ⋮ Spectral picture for rationally multicyclic subnormal operators ⋮ Real separated algebraic curves, quadrature domains, Ahlfors type functions and operator theory ⋮ Hyponormal operators with rank-two self-commutators ⋮ Xia's analytic model of a subnormal operator and its applications ⋮ On a class of operators with finite rank self-commutators ⋮ Towards a model theory for 2-hyponormal operators. ⋮ A class of subnormal operators with finite rank self-commutators ⋮ Subnormality and 2-hyponormality for Toeplitz operators.

Cites Work

• Unnamed Item
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• Analytic theory of subnormal operators
• The analytic model of a subnormal operator
• Principal currents
• Quadrature domains
• A trace formula for subnormal operator tuples
• A class of subnormal operators related to multiply-connected domains
• A remark on the spectral multiplicity of normal extensions of commuting subnormal operator tuples
• The \(H^ p\) spaces of a class of function algebras
• Spectral Properties of Cyclic Subnormal m-Tuples
• Towards a Functional Calculus for Subnormal Tuples: The Minimal Normal Extension

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