Multiplicative linear functionals of continuous functions are countably evaluated

2008-02-01
ERCAN, ZAFER
Önal, Süleyman
We prove that each nonzero algebra homomorphism pi : C(X) -> R is countably evaluated. This is applied to give a simple and direct proof (from the algebraic view) of the fact that each Lindelof space is realcompact.
TAIWANESE JOURNAL OF MATHEMATICS

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Citation Formats
Z. ERCAN and S. Önal, “Multiplicative linear functionals of continuous functions are countably evaluated,” TAIWANESE JOURNAL OF MATHEMATICS, pp. 173–178, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46992.