LEADER 03382nam 2200601 a 450 001 9910438151503321 005 20200520144314.0 010 $a3-642-34369-4 024 7 $a10.1007/978-3-642-34369-8 035 $a(CKB)2670000000533485 035 $a(EBL)1156710 035 $a(OCoLC)831115742 035 $a(SSID)ssj0000854864 035 $a(PQKBManifestationID)11453784 035 $a(PQKBTitleCode)TC0000854864 035 $a(PQKBWorkID)10912705 035 $a(PQKB)10527832 035 $a(DE-He213)978-3-642-34369-8 035 $a(MiAaPQ)EBC1156710 035 $a(PPN)168326752 035 $a(EXLCZ)992670000000533485 100 $a20130105d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPositive linear maps of operator algebras /$fErling Strmer 205 $a1st ed. 2013. 210 $aHeidelberg [Germany] ;$aNew York $cSpringer$d2013 215 $a1 online resource (134 p.) 225 0$aSpringer monographs in mathematics,$x1439-7382 300 $aDescription based upon print version of record. 311 $a3-642-34368-6 311 $a3-642-42913-0 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- 1 Generalities for positive maps -- 2 Jordan algebras and projection maps -- 3 Extremal positive maps -- 4 Choi matrices and dual functionals -- 5 Mapping cones -- 6 Dual cones -- 7 States and positive maps -- 8 Norms of positive maps -- Appendix: A.1 Topologies on B(H) -- A.2 Tensor products -- A.3 An extension theorem -- Bibliography -- Index . 330 $aThis volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the study of entanglement in quantum theory. The author, a leading authority on the subject, sets out numerous results previously unpublished in book form. In addition to outlining the properties and structures of positive linear maps of operator algebras into the bounded operators on a Hilbert space, he guides readers through proofs of the Stinespring theorem and its applications to inequalities for positive maps.  The text examines the maps? positivity properties, as well as their associated linear functionals together with their density operators. It features special sections on extremal positive maps and Choi matrices. In sum, this is a vital publication that covers a full spectrum of matters relating to positive linear maps, of which a large proportion is relevant and applicable to today?s quantum information theory. The latter sections of the book present the material in finite dimensions, while the text as a whole appeals to a wider and more general readership by keeping the mathematics as elementary as possible throughout.  . 410 0$aSpringer Monographs in Mathematics,$x1439-7382 606 $aOperator algebras 606 $aC*-algebras 615 0$aOperator algebras. 615 0$aC*-algebras. 676 $a512.9/4 676 $a512.94 700 $aStrmer$b Erling$0598654 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438151503321 996 $aPositive Linear Maps of Operator Algebras$92507403 997 $aUNINA LEADER 03911nam 22007335 450 001 9910404119403321 005 20250628110056.0 010 $a9783030415174 010 $a3030415171 024 7 $a10.1007/978-3-030-41517-4 035 $a(CKB)4100000010771026 035 $a(MiAaPQ)EBC6144655 035 $a(DE-He213)978-3-030-41517-4 035 $a(Au-PeEL)EBL6144655 035 $a(OCoLC)1150164711 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/39751 035 $a(Perlego)4361737 035 $a(ODN)ODN0010070813 035 $a(oapen)doab39751 035 $a(EXLCZ)994100000010771026 100 $a20200323d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntercultural Dialogue in the European Education Policies $eA Conceptual Approach /$fby Tuuli Lähdesmäki, Aino-Kaisa Koistinen, Susanne C. Ylönen 205 $a1st ed. 2020. 210 $d2020 210 1$aCham :$cSpringer International Publishing :$cImprint: Palgrave Macmillan,$d2020. 215 $a1 online resource (XIV, 114 p. 1 illus.) 311 08$a9783030415167 311 08$a3030415163 327 $aPreface -- Chapter 1. Introduction: What is intercultural dialogue and why is it needed in Europe today? -- Chapter 2. Data and methods: A conceptual approach to intercultural dialogue -- Chapter 3. Definitions and contexts of intercultural dialogue within European policy documents -- Chapter 4. Analysing intercultural dialogue through conceptual densities -- Chapter 5. Affective rhetoric and 'sticky concepts' in European education policy documents -- Chapter 6. Conclusions and suggestions for improving European education policies. 330 $aThis open access book analyses intercultural dialogue as a concept, policy and ideal in European education policy documentation. The core European transnational organizatons ? the Council of Europe and the European Union ? have actively promoted policies to engender inclusive societies and respond to challenges that diversification may entail. This book, in turn, offers suggestions for improving education policies in super-diversified Europe and beyond, where there is an increasing need for cultural understanding and constructive dialogue. The authors utilize concept analysis to reveal how these organizations seek to deal with dialogue between cultures, as well as weight given to cultural differences and intercultural encounters. This book will be of interest and value to scholars of intercultural dialogue and European education policies. . 606 $aEducation and state 606 $aInternational education 606 $aComparative education 606 $aEurope$xPolitics and government 606 $aEducational Policy and Politics 606 $aEducation Policy 606 $aInternational and Comparative Education 606 $aEuropean Politics 615 0$aEducation and state. 615 0$aInternational education. 615 0$aComparative education. 615 0$aEurope$xPolitics and government. 615 14$aEducational Policy and Politics. 615 24$aEducation Policy. 615 24$aInternational and Comparative Education. 615 24$aEuropean Politics. 676 $a379 676 $a303.4824 686 $aEDU034000$aEDU043000$aPOL058000$2bisacsh 700 $aLa?hdesma?ki$b Tuuli$4aut$4http://id.loc.gov/vocabulary/relators/aut$0909446 702 $aKoistinen$b Aino-Kaisa$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aYlo?nen$b Susanne C.$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910404119403321 996 $aIntercultural Dialogue in the European Education Policies$92034886 997 $aUNINA