ON SOME NORM AND NUMERICAL RADIUS INEQUALITIES FOR SUMS AND PRODUCT OPERATORS IN SEMI HILBERT SPACE

Abstract

In this paper, we present novel inequalities concerning the numerical radiusand norm of operators in semi-Hilbert spaces. These results not only generalize and refine previously established inequalities but also extend their applicability to a wider class of operators within this framework. By utilizing the structure and properties of semi-Hilbert spaces, we offer new insights into operator behavior, paving the way for further developmentsin this area of research.