Prime-like elements and semi-direct products in commutative Banach algebras

DOI10.1006/JFAN.1996.3020zbMath0978.46036OpenAlexW2070157180MaRDI QIDQ1354601

Marc P. Thomas

Publication date: 5 May 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3020

zbMATH Keywords

commutative Banach algebrasemidirect productradicalshort sequencealgebraic splittingregular powerstorsion elementsprime-like propertiesSinger-Wermer conjecture

Mathematics Subject Classification ID

Radical Banach algebras (46J45) Structure and classification of commutative topological algebras (46J40)

Cites Work

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• On the unicellularity of \(\ell ^ p(w)\)
• Principal ideals and semi-direct products in commutative Banach algebras
• The image of a derivation is contained in the radical
• Weighted Shifts and Banach Algebras of Power Series
• ON SEMIDIRECT PRODUCTS OF COMMUTATIVE BANACH ALGEBRAS
• Continuity of Derivations on Commutative Algebras
• Embedding the Algebra of Formal Power Series in a Banach Algebra
• A nonstandard ideal of a radical Banach algebra of power series

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