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Keywords:
locally m-convex algebra; $\Phi $-algebra; compact convergence topology
locally m-convex algebra; $\Phi $-algebra; compact convergence topology
Summary:
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.
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