q-Numerical Radius Estimates in Semi-Hilbertian Spaces and Their Relations with Matrix Means for Sectorial Matrices
Abstract
In this paper, the q-numerical radius of operators in semi-Hilbertian spaces is studied. New characterizations are established, and sharp upper and lower bounds for the q-numerical radius are derived. Moreover, several inequalities involving operator monotone functions and matrix means for the q-numerical radius of sectorial matrices are obtained.
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