Positive Linear Maps of Operator Algebras

• Κύριος συγγραφέας: Størmer, Erling (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Matrix theory.; Algebra.; Functional analysis.; Physics.; Functional Analysis.; Linear and Multilinear Algebras, Matrix Theory.; Mathematical Methods in Physics.

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...

Πίνακας περιεχομένων:

• 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 .