Pulgarín, A. A characterization of \(C_k(X)\) as a Fréchet \(f\)-algebra. (English) Zbl 0988.54018 Acta Math. Hung. 88, No. 1-2, 133-138 (2000). Summary: We prove that \(\mathcal C_k(X)\) with \(X\) a hemicompact \(k\)-space is the unique Fréchet \(f\)-algebra, up to isomorphism. Cited in 3 Documents MSC: 54C35 Function spaces in general topology 46J10 Banach algebras of continuous functions, function algebras 54C30 Real-valued functions in general topology Keywords:Fréchet \(f\)-algebra × Cite Format Result Cite Review PDF Full Text: DOI