LEADER 03400nam 22005655 450 001 996499869803316 005 20231006150715.0 010 $a3-031-13670-5 024 7 $a10.1007/978-3-031-13670-2 035 $a(MiAaPQ)EBC7143329 035 $a(Au-PeEL)EBL7143329 035 $a(CKB)25360955200041 035 $a(DE-He213)978-3-031-13670-2 035 $a(PPN)266351743 035 $a(EXLCZ)9925360955200041 100 $a20221117d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLectures on Numerical Radius Inequalities$b[electronic resource] /$fby Pintu Bhunia, Silvestru Sever Dragomir, Mohammad Sal Moslehian, Kallol Paul 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (216 pages) 225 1 $aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4044 311 08$aPrint version: Bhunia, Pintu Lectures on Numerical Radius Inequalities Cham : Springer International Publishing AG,c2023 9783031136696 327 $aChapter 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. 330 $aThis book is a self-contained advanced monograph on inequalities involving the numerical radius of bounded linear operators acting on complex Hilbert spaces. The study of numerical range and numerical radius has a long and distinguished history starting from the Rayleigh quotients used in the 19th century to nowadays applications in quantum information theory and quantum computing. This monograph is intended for use by both researchers and graduate students of mathematics, physics, and engineering who have a basic background in functional analysis and operator theory. The book provides several challenging problems and detailed arguments for the majority of the results. Each chapter ends with some notes about historical views or further extensions of the topics. It contains a bibliography of about 180 items, so it can be used as a reference book including many classical and modern numerical radius inequalities. 410 0$aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4044 606 $aFunctional analysis 606 $aOperator theory 606 $aFunctional Analysis 606 $aOperator Theory 606 $aDesigualtats (Matemātica)$2thub 608 $aLlibres electrōnics$2thub 615 0$aFunctional analysis. 615 0$aOperator theory. 615 14$aFunctional Analysis. 615 24$aOperator Theory. 615 7$aDesigualtats (Matemātica) 676 $a515.243 700 $aBhunia$b Pintu$01264758 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996499869803316 996 $aLectures on numerical radius inequalities$93084237 997 $aUNISA