The Weyl's theorem and its perturbations in semisimple Banach algebra

DOI10.1007/s10114-021-0434-2zbMath1481.46042OpenAlexW3162884534MaRDI QIDQ2042142

Lining Jiang, Ying Ying Kong, Yan Xun Ren

Publication date: 28 July 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-021-0434-2

zbMATH Keywords

perturbationWeyl's theoremsemisimple Banach algebraBrowder elementFredholm element

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Topological algebras, normed rings and algebras, Banach algebras (46H99) Operators on Banach spaces (47B01)

Related Items (4)

The generalized Fredholm elements in a semisimple Banach algebra ⋮ Property \((W_E)\) and topological uniform descent ⋮ Spectral theory of B-Weyl elements and the generalized Weyl's theorem in primitive C*-algebra ⋮ B-Fredholm elements in primitive C*-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weyl's theorem and perturbations
• Fredholm theory relative to a Banach algebra homomorphism
• Weyl spectra and Weyl's theorem.
• Property \((\omega)\) and topological uniform descent
• Spectral mapping theorems for essential spectra
• Some spectral mapping theorems through local spectral theory
• Weyl spectra and Weyl's theorem
• The index for Fredholm elements in a Banach algebra via a trace
• Another note on Weyl’s theorem
• WEYL'S THEOREM, $a$-WEYL'S THEOREM, AND LOCAL SPECTRAL THEORY
• Riesz Points of the Spectrum of an Element in a Semisimple Banach Algebra
• Holomorphically decomposable Fredholm elements in semi-simple Banach algebras
• A note on Weyl’s theorem
• A Generalized Fredholm Theory for Certain Maps in the Regular Representations of an Algebra
• The Fredholm Elements of a Ring

This page was built for publication: The Weyl's theorem and its perturbations in semisimple Banach algebra