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

Ercan, Z; Onal, S

doi:10.1090/s0002-9939-05-07889-5

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

Atıf İçin Kopyala

Ercan Z., Onal S.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.133, sa.11, ss.3317-3321, 2005 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 133 Sayı: 11
Basım Tarihi: 2005
Doi Numarası: 10.1090/s0002-9939-05-07889-5
Dergi Adı: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.3317-3321
Orta Doğu Teknik Üniversitesi Adresli: Hayır

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.