quartonews.it » Math and Science » Geometry of State Spaces of Operator Algebras (Mathematics: Theory Applications)

Author: | Frederic W. Shultz,Erik M. Alfsen |

Subcategory: | Mathematics |

Language: | English |

Publisher: | Birkhäuser; 2003 edition (December 13, 2002) |

Pages: | 488 pages |

Category: | Math and Science |

Rating: | 4.9 |

Other formats: | azw mobi lrf doc |

Geometry of State Spaces of Operator Algebras (Mathematics: Theory & Applications). Operator algebras, operator theory and applications. Theory of operator algebras 2. Theory of Operator Algebras II. Theory of operator algebras 1.

Geometry of State Spaces of Operator Algebras (Mathematics: Theory & Applications). Erik M. Alfsen, Frederic W. Shultz. Download (djvu, . 5 Mb) Donate Read.

This monograph presents a complete and self-contained solution to the long-standing problem of giving a geometric description of state spaces of C -algebras and von Neumann algebras, and of their Jordan algebraic analogs (JB-algebras and JBW-algebras). cones is explained Chapters conclude with notes placing the material in historical context Prerequisites are standard graduate courses in real and complex variables, measure theory, and functional analysis Excellent bibliography and index In the authors' previous book, "State Spaces of Operator Algebras: Basic Theory, Orientations and C -products" (ISBN 0-8176-3890-3), the role of orientations was examined.

In this book we give a complete geometric description of state spaces of operator algebras, Jordan as. .

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.

July 30, 2014 History. 1 2 3 4 5. Want to Read. Are you sure you want to remove Geometry of State Spaces of Operator Algebras (Mathematics: Theory & Applications) from your list? Geometry of State Spaces of Operator Algebras (Mathematics: Theory & Applications).

The two books together provide a predominantly self-contained presentation of the geometric theory of operator algebra .

The two books together provide a predominantly self-contained presentation of the geometric theory of operator algebra state spaces, culminating in the classification theorem of Alfsen, Hanche–Olsen and Shultz. It is aimed to specialists in operator algebras, graduate students and mathematicians working in other areas (mathematical physics, foundation of quantum mechanics). S. Cobzas, Mathematica, Vol. 46 (2), 2004).

In this book we give a complete geometric description of state spaces of operator algebras, Jordan as well as.

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 for proofs, so that this book is self-contained.

oceedings{Alfsen2012StateSO, title {State Spaces of Operator Algebras: Basic Theory, Orientations, and C -products}, author {Erik M. Alfsen and Frederic W. Shultz}, year {2012} }. Preface Introduction Elementary Theory of C -Algebras and von Neumann Algebras Ideals, Faces and Compressions The Normal State of Space of B(H) States, Representations, and Orientations of C -Algebras Symmetries and Rotations in von Neumann Algebras Orientations and von Neumann Algebras Bibliography Index. 3. 1 Mb. Geometry of State Spaces of Operator Algebras (Mathematics: Theory & Applications). 5 Mb. 2 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.

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