02912nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001600172072001700188072002300205072001600228100009300244245012600337250001800463264007300481300004100554336002600595337002600621338003600647347002400683490004100707505022200748520109700970650002102067650002102088700008502109710003402194773002602228776003602254776003602290830004802326856004602374912001402420912001502434999001702449978-3-031-64546-4DE-He21320251030113059.0cr nn 008mamaa240829s2024    sz |    s    |||| 0|eng d  a97830316454649978-3-031-64546-47 a10.1007/978-3-031-64546-42doi 4aQA329-329.9 7aPBKF2bicssc 7aMAT0370002bisacsh 7aPBKF2thema1 aMoslehian, Mohammad Sal.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98482710aAdvanced Techniques with Block Matrices of Operatorsh[electronic resource] /cby Mohammad Sal Moslehian, Hiroyuki Osaka.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Birkhäuser,c2024.  aX, 218 p. 1 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aFrontiers in Mathematics,x1660-80540 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.  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. 0aOperator theory.14aOperator Theory.1 aOsaka, Hiroyuki.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut9848282 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303164545708iPrinted edition:z9783031645471 0aFrontiers in Mathematics,x1660-805497222840uhttps://doi.org/10.1007/978-3-031-64546-4  aZDB-2-SMA  aZDB-2-SXMS  c63624d63624