A new representation of the Dedekind completion of $C(K)$-spaces
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- by Z. Ercan and S. Onal PDF
- Proc. Amer. Math. Soc. 133 (2005), 3317-3321 Request permission
Abstract:
A new representation of the Dedekind completion of $C(K)$ is given. We present a necessary and sufficient condition on a compact Hausdorff space $K$ for which the Dedekind completion of $C(K)$ is $B(S)$, the space of real valued bounded functions on some set $S$.References
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Additional Information
- Z. Ercan
- Affiliation: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
- Email: zercan@metu.edu.tr
- S. Onal
- Affiliation: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
- Email: osul@metu.edu.tr
- Received by editor(s): November 30, 2003
- Received by editor(s) in revised form: June 21, 2004
- Published electronically: May 9, 2005
- Communicated by: Joseph A. Ball
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 3317-3321
- MSC (2000): Primary 46A40; Secondary 46B42, 54B42
- DOI: https://doi.org/10.1090/S0002-9939-05-07889-5
- MathSciNet review: 2161155