Remarks on the paper ''on the commutant of the ideal centre''

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

We continue with the work started in [4] and give a new sufficient condition on Riesz spaces having topologically full centres for $Zsim(E)_C=Orth(E^sim)$ to hold.

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[1] Aliprantis, C.D., Burkinshaw, O. Positive Operators Academic Press, London 1985.
[2] Alpay, Ş., Turan, B. On f-modules Rev. Roumain de Math. Pures et App. 40 (1995) 233-241.
[3] Alpay, Ş., Turan B., On surjectivity of the Arens Homomorphism Turkish J. Mathematics 20 (3), (1996) 369-377
[4] Alpay, Ş., Turan, B., On the commutant of the ideal centre Note di Matematica, 18 (1), (1998) 63-69
[5] Luxemburg, W. A. J., Zaanen, A.C. Riesz Spaces I. North-Holland, Amsterdam, 1971.
[6] Orhon, M., The orthocentre and the ideal centre of the order dual of a Riesz space. Middle East Tech. Univ. Math Dep. Preprint Series (1989) No.3
[7] Wickstead, A.W. Extremal Structures of cones of operators. Quart. J. Math. Oxford 32(2), (1981) 239-253
[8] Zaanen, A.C. Riesz Staces II. North-Holland, Amsterdam, 1983.