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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Spectrum of the products of operators and compact perturbations
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by Wei Bang Gong and De Guang Han
Proc. Amer. Math. Soc. 120 (1994), 755-760
DOI: https://doi.org/10.1090/S0002-9939-1994-1197538-6

Abstract:

In this paper we will give a complete characterization of the operator $B$ which satisfies the spectral condition $\sigma (AB) = \sigma (BA)$ (resp. ${\sigma _e}(AB) = {\sigma _e}(BA))$ for every $A$ in $L(H)$ and also a spectral characterizations of the product of finitely many normal (resp. essentially normal) operators.
References
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Bibliographic Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 120 (1994), 755-760
  • MSC: Primary 47A10; Secondary 47A55
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1197538-6
  • MathSciNet review: 1197538