Norm inequalities involving geometric means

Shaima'a Freewan, Mostafa Hayajneh

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