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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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One dimensional perturbations of compact operators
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by Harkrishan Vasudeva PDF
Proc. Amer. Math. Soc. 57 (1976), 58-60 Request permission

Abstract:

Let $A$ be a compact selfadjoint operator acting on a Hilbert space $H$. $P$ denotes a one dimensional projection also acting on $H$. It is shown that the eigenvalues of $A$ and $A + tP(t > 0)$ interlace on the real axis. A converse of this result is also proved.
References
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 57 (1976), 58-60
  • MSC: Primary 47A55; Secondary 47B05
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0445318-8
  • MathSciNet review: 0445318