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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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Spectra of operators with fixed imaginary parts
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by Andrzej Pokrzywa PDF
Proc. Amer. Math. Soc. 81 (1981), 359-364 Request permission

Abstract:

The aim of this paper is to obtain the best bound for the distance between the eigenvalues of a Hermitian matrix $B$ and the real parts of eigenvalues of a matrix $B + iA$, where $A$ is also Hermitian, in the terms of eigenvalues of $A$. A similar problem in infinite-dimensional Hilbert space is also considered.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 359-364
  • MSC: Primary 15A18; Secondary 15A42, 15A60, 47A10
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0597640-4
  • MathSciNet review: 597640