Shaima'a Freewan

collaborators

2 papers

math.FA2023

Norm inequalities involving geometric means

Shaima'a Freewan, Mostafa Hayajneh

Let $A_{i}$ and $B_{i}$ be positive definite matrices for every $i = 1, \dots, m .$ Let $Z = [Z_{ij}]$ be the block matrix, where $Z_{ij}=B_i^{^\frac{1}{_2}}\left(\displaystyle\sum_{k=1}^mA_…

math.FA2022

On norm inequalities related to the geometric mean

Shaima'a Freewan, Mostafa Hayajneh

Let $A_{i}$ and $B_{i}$ be positive definite matrices for all $i = 1, \dots, m .$ It is shown that $$\left|\left|\sum_{i=1}^m(A_i^2\sharp B_i^2)^r\right|\right|_1\leq\left|\left|\left(\lef…