DOI: 10.15672/hujms.1126384 ISSN:

A-numerical radius : New inequalities and characterization of equalities

Pintu BHUNİA, Kallol PAUL
  • Geometry and Topology
  • Statistics and Probability
  • Algebra and Number Theory
  • Analysis
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.

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