20 citations · 79 across the 25 of their papers we have counts for
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On an operator Kantorovich inequality for positive linear maps
Minghua Lin
We improve the operator Kantorovich inequality as follows: Let be a positive operator on a Hilbert space with . Then for every unital positive linear map , \…
An upper bound for the determinant of a diagonally balanced symmetric matrix
Minghua Lin
We prove a conjectured determinantal inequality: \frac{\det J}{\prod_{i=1}^nJ_{ii}}\le 2(1-\frac{1}{n-1})^{n-1}, where is a real () diagonally balanced symm…
Positive matrices partitioned into a small number of Hermitian blocks
Jean-Christophe Bourin, Eun-Young Lee, Minghua Lin
Positive semidefinite matrices partitioned into a small number of Hermitian blocks have a remarkable property. Such a matrix may be written in a simple way from the sum of its diag…
Positive definite matrices with Hermitian blocks and their partial traces
Jean-Christophe Bourin, Eun-Young Lee, Minghua Lin
Let be a positive semi-definite matrix partitioned in Hermitian blocks, , . Then, for all symmetric norms, {equation*} \| H \| \le \| \…
Fischer type determinantal inequalities for accretive-dissipative matrices
Minghua Lin
Let $A={bmatrix} A_{11} &A_{12} A_{21} & A_{22} {bmatrix}$ be an accretive-dissipative matrix, and l be the orders of and , respectively, and let $…
Arithmetic, geometric, and harmonic means for accretive-dissipative matrices
Minghua Lin
The concept of Loewner (partial) order for general complex matrices is introduced. After giving the definition of arithmetic, geometric, and harmonic mean for accretive-dissipative…