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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Autor principal: Størmer, Erling
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edició:1st ed. 2013.
Col·lecció:Springer Monographs in Mathematics
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Nota: Archives Springer e-books (Licence nationale)
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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
Descripció
Sumari: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 The author, a leading authority on the subject, sets out numerous results previously unpublished in book form.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. 
Descripció de l’ítem:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783642343698
ISSN:2196-9922
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