Characterizations of Riesz spaces with b-property

Date

2009-02-01

Author

Alpay, Safak
ERCAN, ZAFER

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A Riesz space E is said to have b-property if each subset which is order bounded in E(similar to similar to) is order bounded in E. The relationship between b-property and completeness, being a retract and the absolute weak topology vertical bar sigma vertical bar (E(similar to), E) is studied. Perfect Riesz spaces are characterized in terms of b-property. It is shown that b-property coincides with the Levi property in Dedekind complete Frechet lattices.

Subject Keywords

Theoretical Computer Science, Analysis, General Mathematics

URI

https://hdl.handle.net/11511/65541

Journal

POSITIVITY

DOI

https://doi.org/10.1007/s11117-008-2227-6

Collections

Department of Mathematics, Article

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Citation Formats

S. Alpay and Z. ERCAN, “Characterizations of Riesz spaces with b-property,” POSITIVITY, pp. 21–30, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65541.