Consistent invertibility and Weyl's theorem

DOI10.1016/j.jmaa.2010.03.023zbMath1193.47001OpenAlexW2001920186MaRDI QIDQ982591

Xiaohong Cao, Hejia Zhang, Yan-Hua Zhang

Publication date: 7 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.03.023

zbMATH Keywords

Weyl's theoremBanach space operatorconsistent in invertibility

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

Jacobson's lemma for the generalized \(n\)-strong Drazin inverses in rings and in operator algebras, Consistency in invertibility and Fredholmness of operator matrices, Generalized Kato type operators and property \((\omega)\) under perturbations, Consistent invertibility of upper triangular operator matrices, A NOTE ON OPERATORS CONSISTENT IN INVERTIBILITY

Cites Work

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• On the Weyl spectrum
• Theorems on ascent, descent, nullity and defect of linear operators
• Weyl's theorem for nonnormal operators
• An extension of Weyl's theorem to a class of not necessarily normal operators
• Spectrum of the Products of Operators and Compact Perturbations
• Another note on Weyl’s theorem
• Polaroid operators and Weyl’s theorem
• On Kato non-singularity