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The Resource Positive linear maps of operator algebras, Erling Størmer

Positive linear maps of operator algebras, Erling Størmer

Label
Positive linear maps of operator algebras
Title
Positive linear maps of operator algebras
Statement of responsibility
Erling Størmer
Creator
Subject
Language
eng
Summary
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 The author, a leading authority on the subject, sets out numerous results previously unpublished in book form.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
Member of
Is part of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Størmer, Erling
Dewey number
512.9/4
Index
index present
LC call number
QA188
LC item number
.S76 2013
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Springer monographs in mathematics,
http://library.link/vocab/subjectName
  • Positive systems
  • Operator algebras
  • MATHEMATICS
  • Operator algebras
  • Positive systems
  • Operatoralgebra
  • Positive Abbildung
Label
Positive linear maps of operator algebras, Erling Størmer
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Generalities for Positive Maps
  • Jordan Algebras and Projection Maps
  • Extremal Positive Maps
  • Choi Matrices and Dual Functionals
  • Mapping Cones
  • Dual Cones
  • States and Positive Maps
  • Norms of Positive Maps
Control code
823508130
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783642343681
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-34369-8
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)823508130
Label
Positive linear maps of operator algebras, Erling Størmer
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Generalities for Positive Maps
  • Jordan Algebras and Projection Maps
  • Extremal Positive Maps
  • Choi Matrices and Dual Functionals
  • Mapping Cones
  • Dual Cones
  • States and Positive Maps
  • Norms of Positive Maps
Control code
823508130
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783642343681
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-34369-8
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)823508130

Library Locations

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      38.944491 -92.326012
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