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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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Spectrally bounded generalized inner derivations
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by Raúl Curto and Martin Mathieu PDF
Proc. Amer. Math. Soc. 123 (1995), 2431-2434 Request permission

Abstract:

We characterize the generalized inner derivations on a unital Banach algebra which are spectrally bounded. In particular, a simplified argument for the recent result due to Brešar that every spectrally bounded inner derivation maps into the radical is given.
References
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2431-2434
  • MSC: Primary 46H05; Secondary 47B48
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1249873-1
  • MathSciNet review: 1249873