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- Title
Finite codimensional maximal ideals in subalgebras of ultrametric uniformly continuous functions.
- Authors
Chicourrat, Monique; Diarra, Bertin; Escassut, Alain
- Abstract
Let IE be a complete ultrametric space, let IK be a perfect complete ultrametric field and let A be a Banach IK-algebra which is either a full IK-subalgebra of the algebra of continuous functions from IE to IK owning all characteristic functions of clopens of IE, or a full IK-subalgebra of the algebra of uniformly continuous functions from IE to IK owning all characteristic functions of uniformly open subsets of IE. We prove that all maximal ideals of finite codimension of A are of codimension 1.
- Subjects
CONTINUOUS functions; FUNCTION algebras; CHARACTERISTIC functions; BANACH spaces; UNIFORM algebras; BANACH algebras; ALGEBRA
- Publication
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2019, Vol 26, Issue 3, p413
- ISSN
1370-1444
- Publication type
Article
- DOI
10.36045/bbms/1568685655