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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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Inner derivations and norm equality
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by Mohamed Barraa and Mohamed Boumazgour PDF
Proc. Amer. Math. Soc. 130 (2002), 471-476 Request permission

Abstract:

We characterize when the norm of the sum of two bounded operators on a Hilbert space is equal to the sum of their norms.
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Additional Information
  • Mohamed Barraa
  • Affiliation: Département de Mathématiques, Faculté des sciences Semlalia B.P: 2390 Marrakech, Maroc
  • Email: barraa@hotmail.com
  • Mohamed Boumazgour
  • Affiliation: Département de Mathématiques, Faculté des sciences Semlalia B.P: 2390 Marrakech, Maroc
  • Email: boumazgour@hotmail.com
  • Received by editor(s): December 3, 1999
  • Received by editor(s) in revised form: June 27, 2000
  • Published electronically: May 25, 2001
  • Communicated by: Joseph A. Ball
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 471-476
  • MSC (1991): Primary 47A10, 47A12, 47A30, 47B10, 47B20, 47B37, 47B47, 47D50
  • DOI: https://doi.org/10.1090/S0002-9939-01-06053-1
  • MathSciNet review: 1862127