Closed ideals in topological algebras: a characterization of the topological $\Phi$-algebra $C_k(X)$

Title:

Closed ideals in topological algebras: a characterization of the topological $\Phi$-algebra $C_k(X)$

Creator:

Montalvo, F., Pulgarín, Antonio A. , and Requejo , Batildo

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:5b24dcb7-35c4-4a5e-a68a-cff87558b544
uuid:5b24dcb7-35c4-4a5e-a68a-cff87558b544

Subject:

locally m-convex algebra, $\Phi $-algebra, and compact convergence topology

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

903-918

Source:

Czechoslovak Mathematical Journal | 2006 Volume:56 | Number:3

Harvested from:

CDK

Metadata only:

false