The Resource Positive linear maps of operator algebras, Erling Størmer
Positive linear maps of operator algebras, Erling Størmer
Resource Information
The item Positive linear maps of operator algebras, Erling Størmer represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Positive linear maps of operator algebras, Erling Størmer represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 The author, a leading authority on the subject, sets out numerous results previously unpublished in book form.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
 Language
 eng
 Extent
 1 online resource.
 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
 Isbn
 9783642343681
 Label
 Positive linear maps of operator algebras
 Title
 Positive linear maps of operator algebras
 Statement of responsibility
 Erling Størmer
 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
 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
 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
 10.1007/9783642343698
 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
 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
 10.1007/9783642343698
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)823508130
Subject
 Linear and Multilinear Algebras, Matrix Theory.
 MATHEMATICS  Algebra  Intermediate
 Mathematical physics.
 Mathematics.
 Matrix theory.
 Operator algebras
 Operator algebras
 Operator algebras
 Operatoralgebra
 Positive Abbildung
 Positive systems
 Positive systems
 Positive systems
 Functional analysis.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/PositivelinearmapsofoperatoralgebrasErling/klQbTGLDin4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/PositivelinearmapsofoperatoralgebrasErling/klQbTGLDin4/">Positive linear maps of operator algebras, Erling Størmer</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>