Turkish Journal of Mathematics
Abstract
The purpose of this article is to explore various inequalities pertaining to the numerical radius of operators in a Hilbert space. Additionally, we present several bounds for the Berezin number and Berezin norm of operators that act on a reproducing kernel Hilbert space. Finally, we establish a necessary and sufficient condition for the triangle inequality related to the Berezin number to hold.
DOI
10.55730/1300-0098.3442
Keywords
Sum, inequality, numerical radius, Berezin number, Berezin norm
First Page
1481
Last Page
1497
Recommended Citation
ALTWAIJRY, N, FEKI, K, & MINCULETE, N (2023). Numerical radius, Berezin number, and Berezin norm inequalities for sums of operators. Turkish Journal of Mathematics 47 (5): 1481-1497. https://doi.org/10.55730/1300-0098.3442
