On characterization of a Riesz homomorphism on C(X)-space

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AKKAR ERCAN Z. M., ÖNAL S.

QUAESTIONES MATHEMATICAE, vol.30, no.2, pp.147-150, 2007 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 30 Issue: 2
• Publication Date: 2007
• Doi Number: 10.2989/16073600709486189
• Journal Name: QUAESTIONES MATHEMATICAE
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.147-150
• Keywords: realcompact, Riesz homomorphism
• Middle East Technical University Affiliated: Yes

Abstract

Let X be a realcompact space. We present a very simple and elementary proof of the well known fact that every Riesz homomorphism pi : C(X) -> R is point evaluated. Moreover, the proof is given in ZF.