A characterization of an order ideal in Riesz spaces
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- by S. Alpay, E. Yu. Emel’yanov and Z. Ercan PDF
- Proc. Amer. Math. Soc. 132 (2004), 3627-3628 Request permission
Abstract:
In this paper we give a characterization of order ideals in Riesz spaces.References
- W. A. J. Luxemburg and A. C. Zaanen, Riesz spaces. Vol. I, North-Holland Mathematical Library, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1971. MR 0511676
- A. C. Zaanen, Ideals in Riesz spaces, Troisième Colloque sur l’Analyse Fonctionnelle (Liège, 1970) Vander, Louvain, 1971, pp. 137–146. MR 0399798
- Adriaan C. Zaanen, Introduction to operator theory in Riesz spaces, Springer-Verlag, Berlin, 1997. MR 1631533, DOI 10.1007/978-3-642-60637-3
Additional Information
- S. Alpay
- Affiliation: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
- Email: safak@math.metu.edu.tr
- E. Yu. Emel’yanov
- Affiliation: Sobolev Institute of Mathematics, Acad. Koptyug pr. 4, 630090 Novosibirsk, Russia
- Address at time of publication: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
- MR Author ID: 353198
- Email: emelanov@math.nsc.ru
- Z. Ercan
- Affiliation: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
- Email: zercan@metu.edu.tr
- Received by editor(s): July 7, 2003
- Received by editor(s) in revised form: August 13, 2003
- Published electronically: May 12, 2004
- Additional Notes: This work was supported by the Scientific and Technical Research Council of Turkey.
- Communicated by: Joseph A. Ball
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3627-3628
- MSC (2000): Primary 46A40
- DOI: https://doi.org/10.1090/S0002-9939-04-07467-2
- MathSciNet review: 2084085