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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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Une remarque sur l’orthogonalité de l’image au noyau d’une dérivation généralisée
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by M. Benlarbi Delai, S. Bouali and S. Cherki PDF
Proc. Amer. Math. Soc. 126 (1998), 167-171 Request permission

Abstract:

In this paper we introduce the notion of the pair $(A,B)$ of operators having the Fuglede-Putnam property in a two-sided ideal of $L(H)$. The characterization of this class allows us to generalize the recent result of F. Kittaneh. We also give some applications of this result.
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Additional Information
  • M. Benlarbi Delai
  • Affiliation: Université II, Place Eugène Bataillon, Département de Mathématiques, 34095 Montpellier Cedex 5, France; Faculté des Sciences, Mohammed V, Département de Mathématiques et d’Informatique, Rabat, Morocco
  • S. Bouali
  • Affiliation: Faculté des Sciences, Ibn Tofail, Département de Mathématiques et d’Informatique, Kenitra, Morocco
  • S. Cherki
  • Affiliation: Faculté des Sciences et Techniques, Département de Mathématiques, Tanger, Maroc
  • Received by editor(s): June 26, 1996
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 167-171
  • MSC (1991): Primary 47B47, 47A30, 47B20; Secondary 47B10
  • DOI: https://doi.org/10.1090/S0002-9939-98-03996-3
  • MathSciNet review: 1416081