Positive linear maps of operator algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783642343681 9783642343698 |
| DOI: | 10.1007/978-3-642-34369-8 |
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Datensatz im Suchindex
| _version_ | 1804150111188549632 |
|---|---|
| adam_text | POSITIVE LINEAR MAPS OF OPERATOR ALGEBRAS
/ STOERMER, ERLING
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
POSITIVE LINEAR MAPS OF OPERATOR ALGEBRAS
/ STOERMER, ERLING
: 2013
ABSTRACT / INHALTSTEXT
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UNPUBLISHED IN BOOK FORM.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.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
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| doi_str_mv | 10.1007/978-3-642-34369-8 |
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| spelling | Størmer, Erling Verfasser aut Positive linear maps of operator algebras Erling Størmer Berlin [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics Positive Abbildung (DE-588)4363583-0 gnd rswk-swf Operatoralgebra (DE-588)4129366-6 gnd rswk-swf Operatoralgebra (DE-588)4129366-6 s Positive Abbildung (DE-588)4363583-0 s DE-604 https://doi.org/10.1007/978-3-642-34369-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025756782&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025756782&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Størmer, Erling Positive linear maps of operator algebras Positive Abbildung (DE-588)4363583-0 gnd Operatoralgebra (DE-588)4129366-6 gnd |
| subject_GND | (DE-588)4363583-0 (DE-588)4129366-6 |
| title | Positive linear maps of operator algebras |
| title_auth | Positive linear maps of operator algebras |
| title_exact_search | Positive linear maps of operator algebras |
| title_full | Positive linear maps of operator algebras Erling Størmer |
| title_fullStr | Positive linear maps of operator algebras Erling Størmer |
| title_full_unstemmed | Positive linear maps of operator algebras Erling Størmer |
| title_short | Positive linear maps of operator algebras |
| title_sort | positive linear maps of operator algebras |
| topic | Positive Abbildung (DE-588)4363583-0 gnd Operatoralgebra (DE-588)4129366-6 gnd |
| topic_facet | Positive Abbildung Operatoralgebra |
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