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


AKKAR ERCAN Z. M. , ÖNAL S.

QUAESTIONES MATHEMATICAE, cilt.30, ss.147-150, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30 Konu: 2
  • Basım Tarihi: 2007
  • Doi Numarası: 10.2989/16073600709486189
  • Dergi Adı: QUAESTIONES MATHEMATICAE
  • Sayfa Sayıları: ss.147-150

Özet

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.