Spectral theory of B-Weyl elements and the generalized Weyl's theorem in primitive C*-algebra

DOI10.55730/1300-0098.3242OpenAlexW4285266104MaRDI QIDQ5103901

Yan Xun Ren, Lining Jiang, Ying Ying Kong

Publication date: 9 September 2022

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

Full work available at URL: https://doi.org/10.55730/1300-0098.3242

zbMATH Keywords

perturbationsoclegeneralized Weyl's theoremB-Browder elementsprimitive \(\mathrm{C}^\ast\)-algebra

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) General theory of (C^*)-algebras (46L05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (1)

Left and right-Drazin inverses in rings and operator algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized B-Fredholm Banach algebra elements
• Linear maps preserving regularity in \(C^*\)-algebras
• A note on generalized Weyl's theorem
• Fredholm theory relative to a Banach algebra homomorphism
• On a class of quasi-Fredholm operators
• B-Weyl spectrum and poles of the resolvent
• The Weyl's theorem and its perturbations in semisimple Banach algebra
• Semi B-Fredholm and semi B-Weyl spectrum under perturbations
• Weyl type theorems and restrictions
• Generalized Browder's and Weyl's theorems for Banach space operators
• Index of B-Fredholm operators and generalization of a Weyl theorem
• The index for Fredholm elements in a Banach algebra via a trace II
• B-Fredholm elements in rings and algebras
• A generalized Drazin inverse
• Riesz Points of the Spectrum of an Element in a Semisimple Banach Algebra
• Weyl type theorems for p-hyponormal and M-hyponormal operators
• A Trace Formula for the Index of B-Fredholm Operators
• A Generalized Fredholm Theory for Certain Maps in the Regular Representations of an Algebra
• The Fredholm Elements of a Ring
• Property \((W_E)\) and topological uniform descent

This page was built for publication: Spectral theory of B-Weyl elements and the generalized Weyl's theorem in primitive C*-algebra