Abstract
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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Montalvo, F., Pulgarín, A.A. & Requejo, B. Closed ideals in topological algebras: A characterization of the topological Φ-algebra C k (x). Czech Math J 56, 903–918 (2006). https://doi.org/10.1007/s10587-006-0065-x
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DOI: https://doi.org/10.1007/s10587-006-0065-x