Semi-compactness of positive Dunford–Pettis operators on Banach lattices
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- by Belmesnaoui Aqzzouz, Redouane Nouira and Larbi Zraoula PDF
- Proc. Amer. Math. Soc. 136 (2008), 1997-2006 Request permission
Abstract:
We investigate Banach lattices on which each positive Dunford–Pettis operator is semi-compact and the converse. As an interesting consequence, we obtain Theorem 2.7 of Aliprantis–Burkinshaw and an element of Theorem 1 of Wickstead.References
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Additional Information
- Belmesnaoui Aqzzouz
- Affiliation: Département d’Economie, Faculté des Sciences Economiques, Juridiques et Sociales, Université Mohammed V-Souissi, B.P. 5295, Sala Eljadida, Morocco
- Email: baqzzouz@hotmail.com
- Redouane Nouira
- Affiliation: Université Ibn Tofail, Faculté des Sciences, Département de Mathématiques, B.P. 133, Kénitra, Morocco
- Larbi Zraoula
- Affiliation: Université Ibn Tofail, Faculté des Sciences, Département de Mathématiques, B.P. 133, Kénitra, Morocco
- Received by editor(s): February 24, 2006
- Received by editor(s) in revised form: December 2, 2006
- Published electronically: February 19, 2008
- Communicated by: Joseph A. Ball
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 1997-2006
- MSC (2000): Primary 46A40, 46B40, 46B42
- DOI: https://doi.org/10.1090/S0002-9939-08-09032-1
- MathSciNet review: 2383506