Generalization of Kato's decomposition

DOI10.1016/J.LAA.2023.04.013arXiv2112.10262OpenAlexW4366267469MaRDI QIDQ6103361

Hassan Zariouh, Abdelmalek Ouahab, Zakariae Aznay

Publication date: 26 June 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10262

zbMATH Keywords

Kato's decompositionsemi-B-Fredholm operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11)

Cites Work

• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Generalized Kato-meromorphic decomposition, generalized Drazin-meromorphic invertible operators and single-valued extension property
• Removing the jump-Kato's decomposition
• Les opérateurs quasi Fredholm: Une généralisation des opérateurs semi Fredholm
• Uniform ascent and descent of bounded operators
• On a class of quasi-Fredholm operators
• Generalized Kato decomposition and essential spectra
• Ascent, descent, nullity and defect, a note on a paper by A.E. Taylor
• On the index of pseudo B-Fredholm operator
• On semi B-Fredholm operators
• UNBOUNDED B-FREDHOLM OPERATORS ON HILBERT SPACES
• On the axiomatic theory of spectrum II
• Ranges of Products of Operators
• Spectral theory of linear operators and spectral systems in Banach algebras
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