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Lobachevskii Journal of Mathematics, 2007, Volume 26, Pages 63–67 (Mi ljm27)  
This article is cited in 1 scientific paper (total in 1 paper)

Weighted trace inequalities of monotonicity

Dinh Trung Hoa, O. E. Tikhonovab

a Kazan State University
b N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
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Abstract: We study the inequality $\mathrm{Tr}(w(A)f(A))\le\mathrm{Tr}(w(A)f(B))$, where $w\colon\mathbb R\to\mathbb R^+$ is a “weight function” and $A$, $B$ are Hermitian matrices with $A\le B$, and find corresponding characterizations of the trace.
Keywords: full matrix algebra, trace inequality, monotonicity.
Received: 18.06.2007
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Language: English
Citation: Dinh Trung Hoa, O. E. Tikhonov, “Weighted trace inequalities of monotonicity”, Lobachevskii J. Math., 26 (2007), 63–67
Citation in format AMSBIB
\Bibitem{DinTik07}
\by Dinh~Trung~Hoa, O.~E.~Tikhonov
\paper Weighted trace inequalities of monotonicity
\jour Lobachevskii J. Math.
\yr 2007
\vol 26
\pages 63--67
\mathnet{http://mi.mathnet.ru/ljm27}
\zmath{https://zbmath.org/?q=an:1137.15010}
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