A local functional calculus

DOI10.1007/BF01195008zbMath0589.47018MaRDI QIDQ1074083

B. George

Publication date: 1986

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

zbMATH Keywords

subnormal operatorsBerger-Shaw theorembounded operators on a Hilbert spacelocal functional calculuslocally rationally multicyclic operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items

Dual analytic models of seminormal operators ⋮ \(C^*\)-algebras generated by subnormal operators ⋮ Stability of the local spectrum

Cites Work

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• On the analytic model of a class of hyponormal operators
• On the kernels associated with a class of hyponormal operators
• Note on The analytic model of a hyponormal operator with rank one self commutator
• Ranges of hyponormal operators
• Spectral decompositions on Banach spaces
• Quasi-similarity of operators
• Spectral theory. II. Resolutions of the identity
• A survey of the theory of spectral operators
• A Local Spectral Theory for Operators. V: Spectral Subspaces for Hyponormal Operators
• Selfcommutators of multicyclic hyponormal operators are always trace class
• Seminormal operators

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