Riesz points and Weyl's theorem

DOI10.1007/BF01236471zbMath0948.47002MaRDI QIDQ1300157

Bruce A. Barnes

Publication date: 10 May 2000

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

zbMATH Keywords

spectral projectionFredholm operatorWeyl's theoremweighted shiftcompact perturbationBrowder spectrumisolated eigenvaluesfinite-dimensional eigenspaceRiesz point

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15) (Semi-) Fredholm operators; index theories (47A53)

Related Items (20)

WEYL TYPE THEOREMS FOR FUNCTIONS OF OPERATORS ⋮ Weyl's theorem, tensor products and multiplication operators ⋮ On the property \((Z_{E_{a}})\) ⋮ Variations on Weyl's theorem ⋮ Generalized Weyl's theorem and hyponormal operators ⋮ Spectrum and convergence of eventually positive operator semigroups ⋮ Weyl’s theorem for upper triangular operator matrix and perturbations ⋮ Weyl type theorems under compact perturbations ⋮ Riesz points of upper triangular operator matrices ⋮ SVEP and compact perturbations ⋮ Index of B-Fredholm operators and generalization of a Weyl theorem ⋮ Property \((k)\) and commuting Riesz-type perturbations ⋮ Unnamed Item ⋮ Property (\(t\)) and perturbations ⋮ Topological radicals, VI. Scattered elements in Banach Jordan and associative algebras ⋮ Analytically Riesz operators and Weyl and Browder type theorems ⋮ Property (Sw) for bounded linear operators ⋮ B-Weyl spectrum and poles of the resolvent ⋮ Unnamed Item ⋮ Spectral analysis of non-compact symmetrizable operators on Hilbert spaces

Cites Work

• Weyl's theorem for nonnormal operators
• An extension of Weyl's theorem to a class of not necessarily normal operators
• Compact Perturbations, Normal Eigenvalues and a Problem of Salinas
• Weyl's theorem holds for p-hyponormal operators
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