D. T. Hoa

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math.FA2016

Some inequalities for the matrix Heron mean

Dinh Trung Hoa

Let $A, B$ be positive definite matrices, $p = 1, 2$ and $r \geq 0$ . It is shown that \begin{equation*} ||A+ B + r(A\sharp_t B+A\sharp_{1-t} B)||_p \le ||A+ B + r(A^{t}B^{1-t} + A^{1-t…

math.FA2012

Characterization of the monotonicity by the inequality

Dinh Trung Hoa, Hiroyuki Osaka, Jun Tomiyama

Let $φ$ be a normal state on the algebra $B (H)$ of all bounded operators on a Hilbert space $H$ , $f$ a strictly positive, continuous function on $(0, \infty)$ , and let $g$ be a fun…