Local Spectra of Seminormal Operators

DOI10.2307/1999622zbMath0561.47019OpenAlexW4242094267MaRDI QIDQ5186199

Brushan L. Wadhwa, Kevin F. Clancey

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999622

zbMATH Keywords

invariant subspacehyponormalBergman shiftcontrolling local spectra of cohyponormal operatorscosubnormal operatorslocal spectral theory of seminormal operators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Invariant subspaces of linear operators (47A15) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (5)

A unitary invariant for hyponormal operators ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:6125728 On the M�bius invariant principal functions of Pincus] ⋮ A field-theoretic operator model and Cowen-Douglas class ⋮ Spectral Cutting for a Class of Subnormal Operators ⋮ A kernel for operators with one-dimensional self-commutators

Cites Work

• Sufficiently high powers of hyponormal operators have rationally invariant subspaces
• Mosaics, principal functions, and mean motion in von Neumann algebras
• Commutators and systems of singular integral equations. I
• Resolvent vectors, invariant subspaces, and sets of zero capacity
• On Subnormal Operators
• A Local Spectral Theory for Operators. V: Spectral Subspaces for Hyponormal Operators
• Local Resolvents of Operators with One-Dimensional Self-Commutator
• On the Local Spectra of Seminormal Operators
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Commutators, Absolutely Continuous Spectra, and Singular Integral Operators
• Complex geometry and operator theory
• Seminormal operators
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