Positive Linear Maps of Operator Algebras

Author:   Erling Størmer
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2013 ed.
ISBN:  

9783642429132


Pages:   136
Publication Date:   29 January 2015
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Positive Linear Maps of Operator Algebras


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Full Product Details

Author:   Erling Størmer
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2013 ed.
Dimensions:   Width: 15.50cm , Height: 0.80cm , Length: 23.50cm
Weight:   2.292kg
ISBN:  

9783642429132


ISBN 10:   3642429130
Pages:   136
Publication Date:   29 January 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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​.

Reviews

From the reviews: This book is a timely and valuable contribution to the theory and applications of positive linear maps defined on operator algebras and operator systems. ... The style of writing is succinct and to the point. ... the book's value is in its content, the vast majority of which cannot be found in other monographs, and it will surely become the essential reference on positive linear maps for mathematicians and physicists alike. (Douglas R. Farenick, Mathematical Reviews, January, 2014) The author, who is a reputed researcher in this discipline, gathers in this book the main results on positive operators between C*-algebras with the additional novelty of inserting results never before collected together in a book. ... This book is ... a very interesting contribution to the theory of positive linear maps from its beginnings to the latest results. It makes for interesting reading both from a mathematical point of view, as well as for those who are interested in quantum information theory. (Antonio M. Peralta, zbMATH, Vol. 1269, 2013)


From the reviews: This book is a timely and valuable contribution to the theory and applications of positive linear maps defined on operator algebras and operator systems. ... The style of writing is succinct and to the point. ... the book's value is in its content, the vast majority of which cannot be found in other monographs, and it will surely become the essential reference on positive linear maps for mathematicians and physicists alike. (Douglas R. Farenick, Mathematical Reviews, January, 2014) The author, who is a reputed researcher in this discipline, gathers in this book the main results on positive operators between C*-algebras with the additional novelty of inserting results never before collected together in a book. ... This book is ... a very interesting contribution to the theory of positive linear maps from its beginnings to the latest results. It makes for interesting reading both from a mathematical point of view, as well as for those who are interested in quantum information theory. (Antonio M. Peralta, zbMATH, Vol. 1269, 2013)


Author Information

Stormer's area of work is operator algebras. His main specialties have been non-commutative ergodic theory and positive maps. In connection with the latter the author has also worked on Jordan algebras of self-adjoint operators. He has received the main prize from the Norwegian Science Foundation, the Möbius Prize.

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