Closed Fredholm and semi-Fredholm operators, essential spectra and perturbations

DOI10.1016/0022-1236(75)90050-6zbMath0309.47021OpenAlexW2135656478MaRDI QIDQ1219042

Vernon Williams

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0022-1236(75)90050-6

Mathematics Subject Classification ID

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

Related Items (15)

Spectral properties involving generalized weakly demicompact operators ⋮ Demicompactness properties for uniformly continuous cosine families ⋮ Spectral properties for generalized weakly S-demicompact operators ⋮ Fredholm operators and essential S-spectrum in the quaternionic setting ⋮ Characterization of essential spectra involving weakly demicompact operators on Banach spaces ⋮ Semi-Fredholm and semi-Browder spectra for the \(\alpha\)-times integrated semigroups ⋮ Properties of Fredholm, Weyl and Jeribi essential S-spectra in a right quaternionic Hilbert space ⋮ Multi-component Cahn-Hilliard systems with singular potentials: theoretical results ⋮ Lower characteristic, weakly quasi-compact and application ⋮ Relative \(\varepsilon\)-pseudo weak demicompactness and measures of weak noncompactness ⋮ Spectral mapping theorems for differentiable \(C_0\) semigroups ⋮ Spectral theory for strongly continuous cosine ⋮ Unnamed Item ⋮ Weyl's theorem for closed operators on Frechet spaces ⋮ Uniformly continuous cosine families properties around weak demicompactness concept

Cites Work

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• Perturbation theory for nullity, deficiency and other quantities of linear operators
• On the essential spectrum
• Semigroups of operators and measures of noncompactness
• Properties of linear transformations preserved under addition of a completely continuous transformation
• The basic propositions on defect numbers, root numbers and indices of linear operators
• Projections in certain Banach spaces
• Riesz operators and Fredholm perturbations
• Normally solvable operators and ideals associated with them
• On Perturbations of Essential Spectra
• Strictly Singular Operators and Their Conjugates

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