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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Compactness properties of operators dominated by AM-compact operators
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by Belmesnaoui Aqzzouz, Redouane Nouira and Larbi Zraoula PDF
Proc. Amer. Math. Soc. 135 (2007), 1151-1157 Request permission

Erratum: Proc. Amer. Math. Soc. 137 (2009), 2813-2815.

Abstract:

We study several properties about the problem of domination in the class of positive AM-compact operators, and we obtain some interesting consequences on positive compact operators. Also, we give a sufficient condition under which a Banach lattice is discrete.
References
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Additional Information
  • Belmesnaoui Aqzzouz
  • Affiliation: Département de Mathématiques, Faculté des Sciences, Université Ibn Tofail, Equipe d’Analyse Fonctionnelle, B.P. 133, Kénitra, Morocco
  • Email: baqzzouz@hotmail.com
  • Redouane Nouira
  • Affiliation: Département de Mathématiques, Faculté des Sciences, Université Ibn Tofail, Equipe d’Analyse Fonctionnelle, B.P. 133, Kénitra, Morocco
  • Larbi Zraoula
  • Affiliation: Département de Mathématiques, Faculté des Sciences, Université Ibn Tofail, Equipe d’Analyse Fonctionnelle, B.P. 133, Kénitra, Morocco
  • Received by editor(s): July 7, 2005
  • Received by editor(s) in revised form: November 14, 2005
  • Published electronically: October 13, 2006
  • Communicated by: Joseph A. Ball
  • © Copyright 2006 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 1151-1157
  • MSC (2000): Primary 46A40, 46B40, 46B42
  • DOI: https://doi.org/10.1090/S0002-9939-06-08585-6
  • MathSciNet review: 2262919