Multiplicative linear functionals of continuous functions are countably evaluated

ERCAN Z., ÖNAL S.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.12, sa.1, ss.173-178, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 1
  • Basım Tarihi: 2008
  • Doi Numarası: 10.11650/twjm/1500602495
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.173-178
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.