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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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Putnam’s inequality for $p$-hyponormal operators
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by Muneo Chō and Masuo Itoh
Proc. Amer. Math. Soc. 123 (1995), 2435-2440
DOI: https://doi.org/10.1090/S0002-9939-1995-1246519-3

Abstract:

The purpose of this paper is to show the following: Let $0 < p < \frac {1}{2}$. If T is a p-hyponormal operator on a Hilbert space, then \[ \left \| {{{({T^ \ast }T)}^p} - {{(T{T^ \ast })}^p}} \right \| \leq \frac {p}{\pi }\iint _{\sigma (T)} {{\rho ^{2p - 1}}d\rho d\theta }.\] That is, Putnam’s inequality holds for p-hyponormal operators.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2435-2440
  • MSC: Primary 47B20
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1246519-3
  • MathSciNet review: 1246519