$A$-numerical radius : New inequalities and characterization of equalities

Authors : Pintu Bhunia, Kallol Paul

Pages : 1254-1262

Doi:10.15672/hujms.1126384

View : 178 | Download : 251

Publication Date : 2023-10-31

Article Type : Research Paper

Abstract :We develop new lower bounds for the $A$-numerical radius of semi-Hilbertian space operators, and applying these bounds we obtain upper bounds for the $A$-numerical radius of the commutators of operators. The bounds obtained here improve on the existing ones. Further, we provide characterizations for the equality of the existing $A$-numerical radius inequalities of semi-Hilbertian space operators.
Keywords : A numerical radius, A operator seminorm, semi Hilbertian space, inequality