Lectures on Numerical Radius Inequalities
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Beschreibung
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.
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.
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.
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.
Provides several challenging problems and detailed arguments for the majority of the results Intends for use by both researchers and graduate students of mathematics, physics, and engineering Contains the latest developments in inequalities involving numerical radius in modern operator theory
Autor*in
Pintu Bhunia
Themen in »Lectures on Numerical Radius Inequalities«
Projection Hypo-Euclidean numerical radius Operator space numerical radius Hilbert space Norm inequality Davis--Wielandt radius Numerical radius Cartesian decomposition Buzano inequality p-numerical radius Hypo-p-numerical radius Operator matrix Off-diagonal matrix Zeros of a polynomial Semi-Hilbertian space
Stimmen zu »Lectures on Numerical Radius Inequalities«
“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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