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Books > Science & Mathematics > Mathematics > Algebra
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Positive Linear Maps of Operator Algebras (Paperback, 2013 ed.)
Loot Price: R3,918
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Positive Linear Maps of Operator Algebras (Paperback, 2013 ed.)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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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numerous results previously unpublished in book form.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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