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A characterization of an order ideal in Riesz spaces
Author(s):
S.
Alpay;
E.
Yu.
Emel'yanov;
Z.
Ercan
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3627-3628.
MSC (2000):
Primary 46A40
Posted:
May 12, 2004
MathSciNet review:
2084085
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Abstract:
In this paper we give a characterization of order ideals in Riesz spaces.
References:
- [1]
- W.A.J. Luxemburg and A.C. Zaanen, Riesz Spaces I, North-Holland Mathematical Library. North-Holland Publishing Co., Amsterdam-London; New York, 1971. MR 58:23483
- [2]
- A.C. Zaanen, Ideals in Riesz spaces. Troisième Colloque sur l'Analyse Fonctionnelle (Liège, 1970), pp. 137-146. Vander, Louvain, 1971. MR 53:3640
- [3]
- A.C. Zaanen, Introduction to operator theory in Riesz spaces, Springer-Verlag, Berlin, 1997. MR 2000c:47074
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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
Email:
emelanov@math.nsc.ru
Z.
Ercan
Affiliation:
Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Email:
zercan@metu.edu.tr
DOI:
10.1090/S0002-9939-04-07467-2
PII:
S 0002-9939(04)07467-2
Keywords:
Riesz spaces,
order ideals
Received by editor(s):
July 7, 2003
Received by editor(s) in revised form:
August 13, 2003
Posted:
May 12, 2004
Additional Notes:
This work was supported by the Scientific and Technical Research Council of Turkey.
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
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