02399nam a22004695i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001600172072001700188072002300205072001600228100008500244245009900329250001800428264007200446300004200518336002600560337002600586338003600612347002400648505017300672520067600845650002101521650002501542650002901567650002101596650002501617650002701642710003401669773002601703776003601729776003601765776003601801856004601837912001401883912001501897999001701912978-981-99-8668-2DE-He21320251030111819.0cr nn 008mamaa240415s2024    si |    s    |||| 0|eng d  a97898199866829978-981-99-8668-27 a10.1007/978-981-99-8668-22doi 4aQA329-329.9 7aPBKF2bicssc 7aMAT0370002bisacsh 7aPBKF2thema1 aZhang, Lunchuan.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut97520710aHilbert C*- Modules and Quantum Markov Semigroupsh[electronic resource] /cby Lunchuan Zhang.  a1st ed. 2024. 1aSingapore :bSpringer Nature Singapore :bImprint: Springer,c2024.  aIX, 214 p. 7 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aBasic Theory of Hilbert C*-modules -- Kasprove’s Stabilization and Fredholm Generalized Index Theory -- Quantum Markov Semigroups and Operator-valued Dirichlet Forms.  aThis book explains the basic theory of Hilbert C*-module in detail, covering a wide range of applications from generalized index to module framework. At the center of the book, the Beurling-Deny criterion is characterized between operator valued Dirichlet forms and quantum Markov semigroups, hence opening a new field of quantum probability research. The general scope of the book includes: basic theory of Hilbert C*-modules; generalized indices and module frames; operator valued Dirichlet forms; and quantum Markov semigroups. This book will be of value to scholars and graduate students in the fields of operator algebra, quantum probability and quantum information. 0aOperator theory. 0aFunctional analysis. 0aMarkov processes.97032414aOperator Theory.24aFunctional Analysis.24aMarkov Process.9703262 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978981998667508iPrinted edition:z978981998669908iPrinted edition:z978981998670540uhttps://doi.org/10.1007/978-981-99-8668-2  aZDB-2-SMA  aZDB-2-SXMS  c59141d59141