Characterization of c Algebras

Geometry of State Spaces of Operator Algebras  eBooks & eLearning

Posted by AvaxGenius at July 5, 2024
Geometry of State Spaces of Operator Algebras

Geometry of State Spaces of Operator Algebras by Erik M. Alfsen , Frederic W. Shultz
English | PDF (True) | 2003 | 470 Pages | ISBN : 0817643192 | 41.9 MB

In this book we give a complete geometric description of state spaces of operator algebras, Jordan as well as associative. That is, we give axiomatic characterizations of those convex sets that are state spaces of C*-algebras and von Neumann algebras, together with such characterizations for the normed Jordan algebras called JB-algebras and JBW-algebras. These non­ associative algebras generalize C*-algebras and von Neumann algebras re­ spectively, and the characterization of their state spaces is not only of interest in itself, but is also an important intermediate step towards the characterization of the state spaces of the associative algebras. This book gives a complete and updated presentation of the character­ ization theorems of [10]' [11] and [71]. Our previous book State spaces of operator algebras: basic theory, orientations and C*-products, referenced as [AS] in the sequel, gives an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and results (listed as (AI), (A2), … ), with reference back to [AS] for proofs, so that this book is self-contained.

Geometry of State Spaces of Operator Algebras  eBooks & eLearning

Posted by AvaxGenius at July 5, 2024
Geometry of State Spaces of Operator Algebras

Geometry of State Spaces of Operator Algebras by Erik M. Alfsen , Frederic W. Shultz
English | PDF (True) | 2003 | 470 Pages | ISBN : 0817643192 | 41.9 MB

In this book we give a complete geometric description of state spaces of operator algebras, Jordan as well as associative. That is, we give axiomatic characterizations of those convex sets that are state spaces of C*-algebras and von Neumann algebras, together with such characterizations for the normed Jordan algebras called JB-algebras and JBW-algebras. These non­ associative algebras generalize C*-algebras and von Neumann algebras re­ spectively, and the characterization of their state spaces is not only of interest in itself, but is also an important intermediate step towards the characterization of the state spaces of the associative algebras. This book gives a complete and updated presentation of the character­ ization theorems of [10]' [11] and [71]. Our previous book State spaces of operator algebras: basic theory, orientations and C*-products, referenced as [AS] in the sequel, gives an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and results (listed as (AI), (A2), … ), with reference back to [AS] for proofs, so that this book is self-contained.

The Functional Analysis of Quantum Information Theory (Repost)  eBooks & eLearning

Posted by AvaxGenius at April 19, 2021
The Functional Analysis of Quantum Information Theory (Repost)

The Functional Analysis of Quantum Information Theory: A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter by Ved Prakash Gupta
English | EPUB | 2015 | 149 Pages | ISBN : 3319167170 | 2.8 MB

This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers of operator algebras, which forms the underpinning of most current mathematical treatments of the quantum theory, besides being one of the most dynamic areas of twentieth century functional analysis.
The Functional Analysis of Quantum Information Theory (Lecture Notes in Physics) (Repost)

The Functional Analysis of Quantum Information Theory (Lecture Notes in Physics) By Ved Prakash Gupta
2015 | 139 Pages | ISBN: 3319167170 | PDF | 1 MB
The Functional Analysis of Quantum Information Theory (Lecture Notes in Physics) (Repost)

The Functional Analysis of Quantum Information Theory (Lecture Notes in Physics) By Ved Prakash Gupta
2015 | 139 Pages | ISBN: 3319167170 | PDF | 1 MB
The Functional Analysis of Quantum Information Theory: A Collection of Notes Based on Lectures (Repost)

Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter, "The Functional Analysis of Quantum Information Theory: A Collection of Notes Based on Lectures"
English | 2015 | ISBN-10: 3319167170 | 139 pages | pdf | 1 MB

The Functional Analysis of Quantum Information Theory (Repost)  eBooks & eLearning

Posted by DZ123 at Aug. 5, 2020
The Functional Analysis of Quantum Information Theory (Repost)

Ved Prakash Gupta, Prabha Mandayam, V.S. Sunder, "The Functional Analysis of Quantum Information Theory"
English | 2015 | ISBN: 3319167170 | PDF | pages: 149 | 1.4 mb

The Functional Analysis of Quantum Information Theory  eBooks & eLearning

Posted by Underaglassmoon at June 2, 2015
The Functional Analysis of Quantum Information Theory

The Functional Analysis of Quantum Information Theory: A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter
Springer | Physics | July 14 2015 | ISBN-10: 3319167170 | 139 pages | pdf | 1.39 mb

by Ved Prakash Gupta (Author), Prabha Mandayam (Author), V.S. Sunder (Author)

The Functional Analysis of Quantum Information Theory  eBooks & eLearning

Posted by AvaxGenius at Oct. 9, 2019
The Functional Analysis of Quantum Information Theory

The Functional Analysis of Quantum Information Theory: A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter by Ved Prakash Gupta
English | PDF,EPUB | 2015 | 149 Pages | ISBN : 3319167170 | 4.16 MB

This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers of operator algebras, which forms the underpinning of most current mathematical treatments of the quantum theory, besides being one of the most dynamic areas of twentieth century functional analysis.

Generative Complexity In Algebra  eBooks & eLearning

Posted by step778 at Sept. 10, 2018
Generative Complexity In Algebra

Joel Berman, Pawe Idziak, "Generative Complexity In Algebra"
2005 | pages: 178 | ISBN: 0821837079 | PDF | 15,4 mb