Positive linear maps of operator algebras

This 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 th...

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1. Verfasser: Størmer, Erling
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Ausgabe:1st ed. 2013.
Schriftenreihe:Springer Monographs in Mathematics
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Edition sous un autre format:• Positive linear maps of operator algebras, Erling Størmer, Heidelberg, Springer, 2013, 1 vol. (VIII-134 p.), Springer monographs in mathematics, 978-3-642-34368-1
• Positive linear maps of operator algebras, Erling Størmer, Heidelberg, Springer, 2013, 1 vol. (VIII-134 p.), Springer monographs in mathematics, 978-3-642-34368-1
• Positive Linear Maps of Operator Algebras, Texte imprimé, 9783642343704
• Positive Linear Maps of Operator Algebras, Texte imprimé, 9783642429132
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245 1 0 |a Positive linear maps of operator algebras   |c by Erling Størmer. 
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500 |a Archives Springer e-books (Licence nationale) 
505 1 |a Introduction 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 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a This 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 The author, a leading authority on the subject, sets out numerous results previously unpublished in book form.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.  
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776 0 |t Positive Linear Maps of Operator Algebras  |b Texte imprimé  |z 9783642429132 
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