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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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An inequality of Araki-Lieb-Thirring (von Neumann algebra case)
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by Hideki Kosaki PDF
Proc. Amer. Math. Soc. 114 (1992), 477-481 Request permission

Abstract:

For a trace $\tau$ on a semifinite von Neumann algebra we will prove $\tau ({({b^{1/2}}a{b^{1/2}})^{rp}}) \leq \tau ({({b^{r/2}}{a^r}{b^{r/2}})^p})$. Here, $r \geq 1,p > 0$, and $a,b$ are positive operators.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 477-481
  • MSC: Primary 46L50; Secondary 46L10, 47A63
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1065951-1
  • MathSciNet review: 1065951