Lectures on 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 c...

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Bibliographic Details
Main Authors: Bhunia, Pintu, Dragomir, Silvestru Sever (Author), Moslehian, Mohammad Sal (Author), Paul, Kallol (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Series:Infosys Science Foundation Series in Mathematical Sciences
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Lectures on Numerical Radius Inequalities  |h Elektronische Ressource  |c by Pintu Bhunia, Silvestru Sever Dragomir, Mohammad Sal Moslehian, Kallol Paul 
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300 |a XII, 209 p. 1 illus  |b online resource 
505 0 |a 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 
653 |a Functional analysis 
653 |a Functional Analysis 
653 |a Operator theory 
653 |a Operator Theory 
700 1 |a Dragomir, Silvestru Sever  |e [author] 
700 1 |a Moslehian, Mohammad Sal  |e [author] 
700 1 |a Paul, Kallol  |e [author] 
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490 0 |a Infosys Science Foundation Series in Mathematical Sciences 
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856 4 0 |u https://doi.org/10.1007/978-3-031-13670-2?nosfx=y  |x Verlag  |3 Volltext 
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520 |a 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