Lectures on Numerical Radius Inequalities

By: Pintu Bhunia, Silvestru Sever Dragomir, Mohammad Sal Moslehian

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Hardcover | 18 November 2022

At a Glance

Hardcover
224 Pages

Dimensions(cm)
23.39 x 15.6 x 1.42

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This book is a self-contained advanced monograph on inequalities involving the numerical radius of bounded linear operators acting on complex Hilbert spaces. The study of numerical range and numerical radius has a long and distinguished history starting from the Rayleigh quotients used in the 19th century to nowadays applications in quantum information theory and quantum computing.

The study of numerical range assists in understanding the behavior of a bounded linear operator and the major role in this connection is played by the well-known constant numerical radius associated with the numerical range. Inequalities involving the numerical radius are one of the most important topics of research as far as the study of inequalities in functional analysis is concerned.

This monograph is intended for use by both researchers and graduate students of mathematics, physics, and engineering who have a basic background in functional analysis and operator theory. The book provides several challenging problems and detailed arguments for the majority of the results. Each chapter ends with some notes about historical views or further extensions of the topics. It contains a bibliography of about 180 items, so it can be used as a reference book including many classical and modern numerical radius inequalities.

Industry Reviews

"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)

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