Geodesic
Closed ideals in topological algebras: a characterization of the topological $\Phi$-algebra $C_k(X)$
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 903-918 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Let $A$ be a uniformly closed and locally m-convex $\Phi $-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 $\Phi $-algebra of all the real continuous functions on a normal topological space $X$ endowed with the compact convergence topology.
Let $A$ be a uniformly closed and locally m-convex $\Phi $-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 $\Phi $-algebra of all the real continuous functions on a normal topological space $X$ endowed with the compact convergence topology.
Classification : 06B30, 46H05, 46H15, 54H12, 54H13
Keywords: locally m-convex algebra; $\Phi $-algebra; compact convergence topology 
@article{CMJ_2006_56_3_a8,
     author = {Montalvo, F. and Pulgar{\'\i}n, A. A. and Requejo, B.},
     title = {Closed ideals in topological algebras: a characterization of the topological $\Phi$-algebra $C_k(X)$},
     journal = {Czechoslovak Mathematical Journal},
     pages = {903--918},
     year = {2006},
     volume = {56},
     number = {3},
     mrnumber = {2261662},
     zbl = {1164.46339},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006_56_3_a8/}
}
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Montalvo, F.; Pulgarín, A. A.; Requejo, B. Closed ideals in topological algebras: a characterization of the topological $\Phi$-algebra $C_k(X)$. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 903-918. http://geodesic.mathdoc.fr/item/CMJ_2006_56_3_a8/