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

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Copy For Citation

Ercan Z., Onal S.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol.133, no.11, pp.3317-3321, 2005 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 133 Issue: 11
• Publication Date: 2005
• Doi Number: 10.1090/s0002-9939-05-07889-5
• Journal Name: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.3317-3321
• Middle East Technical University Affiliated: No

Abstract

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.