D. T. Hoa

collaborators

3 papers

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.OA2012

The linear span of projections in AH algebras and for inclusions of C*-algebras

Dinh Trung Hoa, Toan Minh Ho, Hiroyuki Osaka

A $C^{*}$ -algebra is said to have the LP property if the linear span of projections is dense in a given algebra. In the first part of this paper, we show that an AH algebra $A = \und…

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…