On pure subnormal operators with finite rank self-commutators and related operator tuples
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Publication:1906519
DOI10.1007/BF01195487zbMath0838.47017MaRDI QIDQ1906519
Publication date: 1 February 1996
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
\(n\)-tuple of commuting linear bounded operatorsmodel of a pure subnormal operator with finite rank self-commutatortrace class self-commutators
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
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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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