Generalizations of numerical radius inequalities related to block matrices

Aliaa Burqan

Abstract


We establish several numerical radius inequalities related to 2×2 positive semidefinite block matrices. It is shown that if A,B,C∈[M]<LaTeX>\mathbb{M}</LaTeX>_{n}(ℂ) are such that [

A B^{∗}
B C
]≥0, then

w^{r}(B)≤(1/2)w(A^{r}+C^{r}), for r≥1.

Related numerical radius inequalities for sums and products of matrices are also given.


Refbacks

  • There are currently no refbacks.