The Drazin spectrum of tensor product of Banach algebra elements and elementary operators

DOI10.1080/03081087.2012.675333zbMath1263.47007arXiv1404.3121OpenAlexW2032245819MaRDI QIDQ4908207

Enrico Boasso

Publication date: 4 March 2013

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

Full work available at URL: https://arxiv.org/abs/1404.3121

zbMATH Keywords

Banach algebraBanach spacetensor productelementary operatorDrazin spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of topological algebras (46H05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (1)

Generalized Browder's and Weyl's theorems for generalized derivations

Cites Work

• On the \(a\)-Browder and \(a\)-Weyl spectra of tensor products
• Browder--Weyl theorems, tensor products and multiplications
• Tensor products, multiplications and Weyl's theorem
• Generalized Browder's and Weyl's theorems for left and right multiplication operators
• A note on Drazin inverses
• Drazin spectra of Banach space operators and Banach algebra elements
• Weyl's theorem, tensor products and multiplication operators
• An Atkinson-type theorem for B-Fredholm operators
• Pseudo-Inverses in Associative Rings and Semigroups
• ON WEYL AND BROWDER SPECTRA OF TENSOR PRODUCTS
• Isolated spectral points
• WEYLS THEOREM FOR TENSOR PRODUCTS
• WEYL'S THEOREM, TENSOR PRODUCTS AND MULTIPLICATION OPERATORS II

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