On the sequential order continuity of the C(K)-space

Date

2007-03-01

Author

Ercan, Z.
Onal, S.

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As shown in [1], for each compact Hausdorff space K without isolated points, there exists a compact Hausdorff P'-space X but not an F-space such that C(K) is isometrically Riesz isomorphic to a Riesz subspace of C(X). The proof is technical and depends heavily on some representation theorems. In this paper we give a simple and direct proof without any assumptions on isolated points. Some generalizations of these results are mentioned.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/66034

Journal

SIBERIAN MATHEMATICAL JOURNAL

DOI

https://doi.org/10.1007/s11202-007-0040-2

Collections

Department of Mathematics, Article

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Citation Formats

Z. Ercan and S. Onal, “On the sequential order continuity of the C(K)-space,” SIBERIAN MATHEMATICAL JOURNAL, pp. 382–384, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66034.