Some conditions on a reductive operator implying normality or spectrality

DOI10.2748/tmj/1178240843zbMath0326.47003OpenAlexW2018869900MaRDI QIDQ1225820

Koh-ichi Kitano

Publication date: 1976

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178240843

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (1)

Invariant subspaces of operator algebras

Cites Work

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• The growth of the resolvent and hyperinvariant subspaces
• Note on invariant subspaces of a compact normal operator
• Some remarks on Ando's theorems
• Invariant subspaces of some non-selfadjoint operators
• A local spectral theory for operators
• Invariant subspaces of completely continuous operators
• Subdiagonalization of operators in Hilbert space with compact imaginary part
• On Operators with Reducing Invariant Subspaces
• Completely Reducible Operators
• A Local Spectral Theory for Operators. III: Resolvents, Spectral Sets and Similarity
• An equivalent formulation of the invariant subspace conjecture

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