Weijun Liu

activity

20192025

most citedA new matrix inequality involving partial traces

4 citations · 9 across the 16 of their papers we have counts for

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Showing math.FAShow all

5 papers · 1 filter

math.FA2020

Inequalities for generalized matrix function and inner product

Yang Huang, Yongtao Li, Lihua Feng +1

We present inequalities related to generalized matrix function for positive semidefinite block matrices. We introduce partial generalized matrix functions corresponding to partial…

math.FA2020

Another determinantal inequality involving partial traces

Yongtao Li, Lihua Feng, Weijun Liu +1

Let $A$ be a positive semidefinite $m \times m$ block matrix with each block $n$ -square, then the following determinantal inequality for partial traces holds \[ (\mathrm{tr} A)^{mn}…

math.FA2020★ 2 cited

Extensions of Brunn-Minkovski's inequality to multiple matrices

Yongtao Li, Lihua Feng

Yuan and Leng (2007) gave a generalization of Ky Fan's determinantal inequality, which is a celebrated refinement of the fundamental Brunn-Minkowski inequality $(\det (A+B))^{1/n}…

math.FA2020★ 4 cited

A new matrix inequality involving partial traces

Yongtao Li, Weijun Liu, Yang Huang

Let $A$ be an $m \times m$ positive semidefinite block matrix with each block being $n$ -square. We write $tr_{1}$ and $tr_{2}$ for the first and second partial trace,…

math.FA2020★ 2 cited

Some applications of two completely copositive maps

Yongtao Li, Yang Huang, Lihua Feng +1

A linear map $Φ : M_{n} \to M_{k}$ is called completely copositive if the resulting matrix $[Φ (A_{j, i})]_{i, j = 1}^{m}$ is positive semidefinite for any integer $m$ and pos…