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001 978-3-031-64546-4
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008 240829s2024 sz | s |||| 0|eng d
020 _a9783031645464
_9978-3-031-64546-4
024 7 _a10.1007/978-3-031-64546-4
_2doi
050 4 _aQA329-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
072 7 _aPBKF
_2thema
100 1 _aMoslehian, Mohammad Sal.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_984827
245 1 0 _aAdvanced Techniques with Block Matrices of Operators
_h[electronic resource] /
_cby Mohammad Sal Moslehian, Hiroyuki Osaka.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aX, 218 p. 1 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFrontiers in Mathematics,
_x1660-8054
505 0 _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.
520 _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.
650 0 _aOperator theory.
650 1 4 _aOperator Theory.
700 1 _aOsaka, Hiroyuki.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_984828
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031645457
776 0 8 _iPrinted edition:
_z9783031645471
830 0 _aFrontiers in Mathematics,
_x1660-8054
_972228
856 4 0 _uhttps://doi.org/10.1007/978-3-031-64546-4
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c63624
_d63624