Description of closed ideals in function algebras containing continuous unbounded functions

DOI10.1007/s00009-010-0035-2zbMath1211.46055OpenAlexW1965377393MaRDI QIDQ711438

Jorma Arhippainen, Jukka Kauppi, Mati Abel

Publication date: 26 October 2010

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0035-2

zbMATH Keywords

maximal idealfunction algebrastrict topologyuniform topologyclosed ideal

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Ideals, maximal ideals, boundaries (46J20)

Related Items (3)

Description of quotient algebras in function algebras containing continuous unbounded functions ⋮ Cover topologies, subspaces, and quotients for some spaces of vector-valued functions ⋮ A note on irreducible representations of some vector-valued function algebras

Cites Work

• Bounded continuous functions on a locally compact space
• On the spectrum of \(C^ 1_ b(E)\)
• Functional representation of topological algebras
• Generalization of the topological algebra (C_b(X), β)
• Generalization of the B *-algebra (C ₀ (X ),∥ ∥_∞ )
• Stone-Weierstrass Theorems for the Strict Topology
• A Generalization of the Strict Topology
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