Centralizers in semisimple algebras, and descent spectrum in Banach algebras

DOI10.1016/j.jalgebra.2011.06.021zbMath1254.47003OpenAlexW2036095000MaRDI QIDQ2428030

Abdelfattah Haily, Angel Rodriguez Palacios, El Amin Mokhtar Kaidi

Publication date: 19 April 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.06.021

zbMATH Keywords

centralizerdescent spectrumsemi-simple Banach algebra

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Artinian rings and modules (associative rings and algebras) (16P20) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (6)

Algebra descent spectrum of operators ⋮ On the Jacobson radical of constants of derivations. ⋮ Characterizations of Hopfians spaces ⋮ Skew derivations with algebraic invariants of bounded degree. ⋮ Topologically nilpotent normed algebras ⋮ Invariants of algebraic derivations and automorphisms in Banach algebras

Cites Work

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• Algebra descent spectrum of operators
• Characterization of finite dimensionality for semi-simple Banach algebras
• A primer on spectral theory
• Riesz theory in Banach algebras
• Modules with decompositions that complement direct summands
• Centralizers of algebraic elements
• Ascent, Descent, and Commuting Perturbations
• Centralizers in rings

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