LEADER 02823nam 22004935 450 001 9910886065703321 005 20250807150311.0 010 $a3-031-64546-4 024 7 $a10.1007/978-3-031-64546-4 035 $a(MiAaPQ)EBC31626147 035 $a(Au-PeEL)EBL31626147 035 $a(CKB)34512491200041 035 $a(DE-He213)978-3-031-64546-4 035 $a(EXLCZ)9934512491200041 100 $a20240829d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvanced Techniques with Block Matrices of Operators /$fby Mohammad Sal Moslehian, Hiroyuki Osaka 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2024. 215 $a1 online resource (226 pages) 225 1 $aFrontiers in Mathematics,$x1660-8054 311 08$a3-031-64545-6 320 $aIncludes bibliographical references and index. 327 $aPreface -- 1 Matrices and Hilbert Space Operators -- 2 Block Matrices of Operators -- 3 Operator Monotone Functions and Positive Maps -- 4 Operator Variance and Covariance -- 5 Nonlinear Positive Maps -- Bibliography. 330 $aThis book introduces several powerful techniques and fundamental ideas involving block matrices of operators, as well as matrices with elements in a C*-algebra. These techniques allow for the solution of problems that may be difficult to treat. Specifically, 2×2 operator matrices yield significant mathematical inequalities in various fields of operator theory and matrix analysis. The authors employ block matrices to simplify complicated problems. Operator matrices have garnered attention for their applications in quantum information and computing theories. Each chapter concludes with a diverse set of exercises and problems for readers, along with references to relevant literature. Some problems pose open questions, while others challenge readers and provide suggestions for future research. This book is suitable for an advanced undergraduate or graduate course and can be used in the classroom. It also serves as a valuable resource for researchers and students in mathematics and physics who have a basic understanding of linear algebra, functional analysis, and operator theory. 410 0$aFrontiers in Mathematics,$x1660-8054 606 $aOperator theory 606 $aOperator Theory 615 0$aOperator theory. 615 14$aOperator Theory. 676 $a512.9434 700 $aMoslehian$b Mohammad Sal$f1966-$01846345 702 $aOsaka$b Hiroyuki 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910886065703321 996 $aAdvanced Techniques with Block Matrices of Operators$94430650 997 $aUNINA