Principal ideals and semi-direct products in commutative Banach algebras

DOI10.1016/0022-1236(91)90160-7zbMath0764.46047OpenAlexW2002005637MaRDI QIDQ1180531

Marc P. Thomas

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90160-7

zbMATH Keywords

commutative Banach algebraprincipal idealcommutative radical Banach algebradecomposable as a semi-direct productpartial approximate identity

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Ideals, maximal ideals, boundaries (46J20) Radical Banach algebras (46J45)

Related Items (7)

Amalgamated duplication of Banach algebras from homological point of view ⋮ Prime-like elements and semi-direct products in commutative Banach algebras ⋮ ON SEMIDIRECT PRODUCTS OF COMMUTATIVE BANACH ALGEBRAS ⋮ Automatic continuity of derivations on semidirect products of Banach algebras ⋮ Amalgamated duplication of the Banach algebra 𝔄 along a 𝔄-bimodule 𝒜 ⋮ On amalgamated {B}anach algebras ⋮ Some notes on semidirect products of Banach algebras

Cites Work

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• The image of a derivation is contained in the radical
• Continuity of Linear Operators Commuting with Continuous Linear Operators. II
• Embedding the Algebra of Formal Power Series in a Banach Algebra

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