Minimum modulus, perturbation for essential ascent and descent of a closed linear relation in Hilbert spaces

DOI10.1007/s10474-016-0683-1zbMath1399.47012OpenAlexW2566587629MaRDI QIDQ1701413

Haïkel Skhiri, Zied Garbouj

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0683-1

zbMATH Keywords

spectrumminimum modulusdescentreduced minimum modulusascentclosed linear relationsemi-Fredholm relationessential ascentessential descentrange subspace

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear relations (multivalued linear operators) (47A06)

Related Items (3)

On the essential minimum and essential surjectivity moduli of linear relations in Banach spaces ⋮ Partial isometries and generalized inverses of linear relations ⋮ New additive results for the Drazin inverse of multivalued operators

Cites Work

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• Ascent spectrum and essential ascent spectrum
• The Kato decomposition of quasi-Fredholm relations
• The minimum modulus of a linear operator and its use in spectral theory
• Ascent, Descent, and Commuting Perturbations

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