Numerical radii inequalities for certain operator sums

Numerical radii inequalities for certain operator sums

Zand Vakili A., Farokhinia A.
Siberian Electronic Mathematical Reports, 21, 2, pp. 1440-1449 (2024)

УДК 517.98 
DOI: 10.33048/semi.2024.21.091  
MSC 47A12, 47A30, 47A63


Abstract:

We give several numerical radius inequalities for the product and the sum of operators in Hilbert space. To do this end, we employ some block matrix methods. The advantage of our results is that they extend and refine some well-known inequalities in the literature.

 

Keywords: Numerical radius, norm inequality, block matrix