Weyl's theorem for closed operators on Frechet spaces

DOI10.1016/0022-1236(78)90005-8zbMath0399.47017OpenAlexW2165790304MaRDI QIDQ1254717

Vernon Williams

Publication date: 1978

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90005-8

zbMATH Keywords

Frechet SpaceFredholm TheoryWeyl's Theorem

Mathematics Subject Classification ID

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

Cites Work

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• Closed Fredholm and semi-Fredholm operators, essential spectra and perturbations
• Hyponormal operators
• Weyl's theorem for nonnormal operators
• An extension of Weyl's theorem to a class of not necessarily normal operators
• The basic propositions on defect numbers, root numbers and indices of linear operators