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Topological localization in Fréchet algebras.

Batildo Requejo — 1994

Extracta Mathematicae

Closed ideals in topological algebras: a characterization of the topological $Φ$ -algebra $C_{k} (X)$

F. Montalvo; Antonio A. Pulgarín; Batildo Requejo Fernández — 2006

Czechoslovak Mathematical Journal

Let $A$ be a uniformly closed and locally m-convex $Φ$ -algebra. We obtain internal conditions on $A$ stated in terms of its closed ideals for $A$ to be isomorphic and homeomorphic to $C_{k} (X)$ , the $Φ$ -algebra of all the real continuous functions on a normal topological space $X$ endowed with the compact convergence topology.

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Topological localization in Fréchet algebras.

Closed ideals in topological algebras: a characterization of the topological Φ -algebra C k ( X )

Closed ideals in topological algebras: a characterization of the topological $Φ$ -algebra $C_{k} (X)$