Commutators, commutativity and dimension in the socle of a Banach algebra: a generalized Wedderburn-Artin and Shoda's theorem

DOI10.1016/j.laa.2015.06.032zbMath1330.46049arXiv1808.06335OpenAlexW812082577MaRDI QIDQ491110

F. Schulz, Rudi Brits

Publication date: 24 August 2015

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

Full work available at URL: https://arxiv.org/abs/1808.06335

zbMATH Keywords

centertracerankcommutatorsocle

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) General theory of topological algebras (46H05) Representations of topological algebras (46H15) Structure, classification of topological algebras (46H20) Ideals and subalgebras (46H10)

Related Items (3)

The Shoda-completion of a Banach algebra ⋮ Identities, approximate identities and topological divisors of zero in Banach algebras ⋮ Uniqueness under spectral variation in the socle of a Banach algebra

Cites Work

• A primer on spectral theory
• Trace characterizations and socle identifications in Banach algebras
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