Local spectral theory and spectral inclusions

DOI10.1017/S0017089500030937zbMath0851.47002OpenAlexW2098284508MaRDI QIDQ4313570

Michael M. Neumann, K.B.Laursen

Publication date: 21 November 1996

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500030937

zbMATH Keywords

surjectivitydecomposable operatorsrestrictionsquotientsasymptotic intertwiningspectral inclusionsapproximate point spectra

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Local spectral properties of linear operators (47A11)

Related Items (3)

Essential spectra through local spectral theory ⋮ PF property and property \((\beta )\) for paranormal operators ⋮ Dunford's property \((C)\) and Weyl's theorems.

Cites Work

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• A duality theorem for an arbitrary operator
• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Invariant subspaces for operators with Bishop's property \((\beta{})\) and thick spectrum
• On the spectral theory of commutators
• Ein Spektralabbildungssatz. (A spectral mapping theorem)
• Solving Linear Operator Equations
• BANACH Coherent Analytic FRÉCHET Sheaves
• The Single-Valued Extension Property and Spectral Manifolds

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