03400nam 22005655 450 99649986980331620231006150715.03-031-13670-510.1007/978-3-031-13670-2(MiAaPQ)EBC7143329(Au-PeEL)EBL7143329(CKB)25360955200041(DE-He213)978-3-031-13670-2(PPN)266351743(EXLCZ)992536095520004120221117d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierLectures on Numerical Radius Inequalities[electronic resource] /by Pintu Bhunia, Silvestru Sever Dragomir, Mohammad Sal Moslehian, Kallol Paul1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (216 pages)Infosys Science Foundation Series in Mathematical Sciences,2364-4044Print version: Bhunia, Pintu Lectures on Numerical Radius Inequalities Cham : Springer International Publishing AG,c2023 9783031136696 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.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.Infosys Science Foundation Series in Mathematical Sciences,2364-4044Functional analysisOperator theoryFunctional AnalysisOperator TheoryDesigualtats (Matemàtica)thubLlibres electrònicsthubFunctional analysis.Operator theory.Functional Analysis.Operator Theory.Desigualtats (Matemàtica)515.243Bhunia Pintu1264758MiAaPQMiAaPQMiAaPQBOOK996499869803316Lectures on numerical radius inequalities3084237UNISA