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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Every $n\times n$ matrix $Z$ with real spectrum satisfies $\Vert Z-Z^{\ast }\Vert \leq \Vert Z+Z^{\ast } \Vert (\log _{2}n+0.038)$
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by W. Kahan PDF
Proc. Amer. Math. Soc. 39 (1973), 235-241 Request permission

Abstract:

The title’s inequality is proved for the operator bound-norm in a unitary space. An example is exhibited to show that the inequality cannot be improved by more than about 8
References
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 39 (1973), 235-241
  • MSC: Primary 15A60
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0313278-3
  • MathSciNet review: 0313278