Relationship between the Kato spectrum and the Goldberg spectrum of a linear relation

DOI10.1007/s00009-014-0481-3zbMath1336.47002OpenAlexW1963545316MaRDI QIDQ5964391

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Publication date: 29 February 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0481-3

zbMATH Keywords

Goldberg spectrumKato linear relationKato spectrumregular linear relation

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Linear relations (multivalued linear operators) (47A06)

Related Items (9)

Spectral property of upper triangular relation matrices ⋮ On isolated points of the approximate point spectrum of a closed linear relation ⋮ Unnamed Item ⋮ Weyl's type theorems for linear relations satisfying the single valued extension property ⋮ On the structure of essentially semi-regular linear relations ⋮ On decomposition of left-right Atkinson linear relations and related classes ⋮ Pseudo B-Fredholm linear relations and spectral theory ⋮ On essentially semi regular linear relations ⋮ Generalized Kato linear relations

Cites Work

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• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Ascent, descent, nullity, defect, and related notions for linear relations in linear spaces
• Les opérateurs quasi Fredholm: Une généralisation des opérateurs semi Fredholm
• On regular linear relations
• Perturbation theory of lower semi-Browder multivalued linear operators
• The Kato decomposition of quasi-Fredholm relations
• Spectral analysis of linear relations and degenerate operator semigroups
• Contribution à l'étude des applications linéaires dans un espace de Banach

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