Lectures on Numerical Radius Inequalities

P. Bhunia: He is a young and dynamic research scholar working in the Department of Mathematics, Jadavpur University, Kolkata, India, under the mentorship of Prof Kallol Paul. He is actively involved in research in the area of numerical radius inequalities. In his very short span of a research career, he has published several research papers in international journals of high reputation, which indicates his bright future in the coming days.S. S. Dragomir: He is Professor and Chair of Mathematical Inequalities at Victoria University, Melbourne, Australia, and  Honorary Professor at DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa. His research concerns Mathematical Inequalities ranging from real numbers and integrals to Hilbert space operators and Hermitian *-Algebras. He is also Chair of the International Research Group in Mathematical Inequalities and Applications and Editor-in-Chief of the Australia Journal of Mathematical Inequalities and Applications.M. S. Moslehian: He is a Professor of Mathematics at the Ferdowsi University of Mashhad, Mashhad, Iran. His research concerns operator algebras, Hilbert C*-modules, in particular, operator and norm inequalities. He was a Senior Associate in ICTP (Italy) and a visiting professor at several universities in England, Sweden, China, and Japan. He is the editor-in-chief of the journals "Banach J. Math. Anal.", "Ann. Funct. Anal.", and "Adv. Oper. Theory" being published by Birkhäuser/Springer.K. Paul: He is a Professor of Mathematics in the Department of Mathematics, Jadavpur University, Kolkata, India. He did his B.Sc. (Math.) Major from Gauhati University and M.Sc. from Jadavpur University, securing 1st Class 1st position in both examinations. His area of research is Operator Theory and Functional Analysis. His current area of teaching includes but is not limited to Real Analysis, Metric Spaces, Topology, and Operator Theory. Presently, he is actively involved in research in areas involving numerical radius inequalities, Birkhoff-James orthogonality, and their applications.

“The 209-page book has 177 references. … The monograph is a good resource for both researchers and graduate students studying numerical range and radius, and their applications.” (Tin Yau Tam, zbMATH 1512.47001, 2023)

• Chapter 1. Preliminaries.- Chapter 2. Fundamental numerical radius inequalities.- Chapter 3. Bounds of the numerical radius using Buzano’s inequality.- Chapter 4. p-numerical radius inequalities of an n-tuple of operators.- Chapter 5. Numerical radius inequalities of product of operators.- Chapter 6. Numerical radius of operator matrices and applications.- Chapter 7. Operator space numerical radius of 2 × 2 block matrices.- Chapter 8. A-numerical radius inequalities of semi-Hilbertian spaces.- Chapter 9. Research Problems.