A new representation of the Dedekind completion of C(K)-spaces


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Ercan Z., Onal S.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.133, ss.3317-3321, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 133 Konu: 11
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1090/s0002-9939-05-07889-5
  • Dergi Adı: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.3317-3321

Özet

A new representation of the Dedekind completion of C( K) is given. We present a necessary and sufficient condition on a compact Haus-dorff space K for which the Dedekind completion of C(K) is B(S), the space of real valued bounded functions on some set S.