journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-1731 Some sharp bounds for the Hilbert-Schmidt numerical radius of operators Soumia Aici Department of Mathematics, Faculty of Exact Sciences, University of Mustapha Stambouli, Mascara, 29000, Algeria Abdelkader Frakis Department of Mathematics, Faculty of Exact Sciences, University of Mustapha Stambouli, Mascara, 29000, Algeria 27 7 1481 1489 30 11 2024

Some sharp Hilbert-Schmidt numerical radius inequalities for an operator as well as for 2 × 2 operator matrices are presented. Also, refinements of certain earlier Hilbert-Schmidt numerical radius inequalities are provided.

 Schatten p-norm Hilbert-Schmidt norm Inequality access open retracted no