On the Ideal Structure of Algebras of Star-Algebra Valued Functions

DOI10.2307/2160892zbMath0821.46067OpenAlexW4247631353MaRDI QIDQ4318418

Jorma Arhippainen

Publication date: 23 January 1995

Full work available at URL: https://doi.org/10.2307/2160892

zbMATH Keywords

carrier spacecompletely regular topological spaceideal structure of the algebra \(C(X, A)\)locally convex star algebraslice ideals of \(C(X, A)\)

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Ideals, maximal ideals, boundaries (46J20) Representations of commutative topological algebras (46J25)

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On functional representation of commutative locally \(A\)-convex algebras.

Cites Work

• Description of closed ideals in algebras of continuous vector-valued functions
• Maximal ideals in algebras of topological algebra valued functions
• Functional representation of topological algebras
• The maximal ideal space of the topological algebra \(C(X,E)\)
• A generalization of normed rings
• On the ideal structure of algebras of LMC-algebra valued functions
• Banach Algebras of Continuous Functions
• Locally multiplicatively-convex topological algebras
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