9 papers
An extension of the Pólya--Szegö operator inequality
D. T. Hoa, M. S. Moslehian, C. Conde +1
We extend an operator Pólya--Szegö type inequality involving the operator geometric mean to any arbitrary operator mean under some mild conditions. Utilizing the Mond--Pečarić meth…
Some inequalities for the matrix Heron mean
Dinh Trung Hoa
Let be positive definite matrices, and . 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…
An inequality for t-geometric means
Dinh Trung Hoa
In this note we prove an inequality for t-geometric means that immediately implies the recent results of Audenaert [2] and Hayajneh-Kittaneh [6].
On characterization of operator monotone functions
Dinh Trung Hoa
In this paper, we will show a new characterization of operator monotone functions by a matrix reverse Cauchy inequality.
The linear span of projections in AH algebras and for inclusions of C*-algebras
Dinh Trung Hoa, Toan Minh Ho, Hiroyuki Osaka
A -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…
Characterization of the monotonicity by the inequality
Dinh Trung Hoa, Hiroyuki Osaka, Jun Tomiyama
Let be a normal state on the algebra of all bounded operators on a Hilbert space , a strictly positive, continuous function on , and let be a fun…
On generalized Powers-Strmer's Inequality
Dinh Trung Hoa, Hiroyuki Osaka, Ho Minh Toan
A generalization of Powers-Strmer's inequality for operator monotone functions on and for positive linear functional on general -algebras will be proved. It…
A New Proof of the Monotone Convergence Theorem of Lebesgue Integral on σ-Class
Dinh Trung Hoa
In this short note a new proof of the monotone con- vergence theorem of Lebesgue integral on σ-class is given.
Weighted monotonicity inequalities for unbounded operators
Dinh Trung Hoa
This paper has been withdrawn by the author due to a crucial sign error in equation 1.