03128nam a22004935i 4500 978-3-031-64546-4 DE-He213 20251030113059.0 cr nn 008mamaa 240829s2024 sz | s |||| 0|eng d 9783031645464 978-3-031-64546-4 10.1007/978-3-031-64546-4 doi QA329-329.9 PBKF bicssc MAT037000 bisacsh PBKF thema Moslehian, Mohammad Sal. author. aut http://id.loc.gov/vocabulary/relators/aut 84827 Advanced Techniques with Block Matrices of Operators [electronic resource] / by Mohammad Sal Moslehian, Hiroyuki Osaka. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. X, 218 p. 1 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontiers in Mathematics, 1660-8054 Preface -- 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. This 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. Operator theory. Operator Theory. Osaka, Hiroyuki. author. aut http://id.loc.gov/vocabulary/relators/aut 84828 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031645457 Printed edition: 9783031645471 Frontiers in Mathematics, 1660-8054 72228 https://doi.org/10.1007/978-3-031-64546-4 ZDB-2-SMA ZDB-2-SXMS 63624 63624