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Autor:
Hoa, Dinh Trung
Let $A, B$ be positive definite matrices, $p=1, 2$ and $r\ge 0$. 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}B^t)||_p. \end{equation*} We also prove that for positive definite ma
Externí odkaz:
http://arxiv.org/abs/1605.03516
Autor:
Hoa, Dinh Trung
In this note we prove an inequality for t-geometric means that immediately implies the recent results of Audenaert [2] and Hayajneh-Kittaneh [6].
Externí odkaz:
http://arxiv.org/abs/1512.04585
Autor:
Hoa, Dinh Trung
In this paper, we will show a new characterization of operator monotone functions by a matrix reverse Cauchy inequality.
Comment: LAA, 2015
Comment: LAA, 2015
Externí odkaz:
http://arxiv.org/abs/1512.03719
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 $A = \underrightarrow{\lim}(A_i,\phi_i)$ has the LP property if and only if eve
Externí odkaz:
http://arxiv.org/abs/1210.5426
Let $\varphi$ 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 function on $(0, \infty)$ defined by $g(t) = \frac{t}{f(t)}$. We wi
Externí odkaz:
http://arxiv.org/abs/1207.5201
A generalization of Powers-St$\o$rmer's inequality for operator monotone functions on $[0, +\infty)$ and for positive linear functional on general $C^*$-algebras will be proved. It also will be shown that the generalized Powers-St$\o$rmer inequality
Externí odkaz:
http://arxiv.org/abs/1204.6665
Autor:
Hoa, Dinh Trung
In this short note a new proof of the monotone con- vergence theorem of Lebesgue integral on \sigma-class is given.
Comment: This paper has been withdrawn by the author
Comment: This paper has been withdrawn by the author
Externí odkaz:
http://arxiv.org/abs/1102.3873
Autor:
Hoa, Dinh Trung
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
Comment: This paper has been withdrawn by the author
Comment: This paper has been withdrawn by the author
Externí odkaz:
http://arxiv.org/abs/1101.0661
Autor:
Hoa, Dinh Trung
Publikováno v:
In Linear Algebra and Its Applications 1 September 2017 528:321-330
