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The Kadison-Singer property[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512.556
書名/作者:	The Kadison-Singer property/ by Marco Stevens.
作者:	Stevens, Marco.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	x, 140 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Operator algebras.
標題:	Hilbert space.
標題:	Mathematics.
標題:	Mathematical Physics.
標題:	Operator Theory.
標題:	Mathematical Methods in Physics.
標題:	Functional Analysis.
ISBN:	9783319477022
ISBN:	9783319477015
摘要、提要註:	This book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces. The Kadison-Singer property deals with the following question: given a Hilbert space H and an abelian unital C*-subalgebra A of B(H), does every pure state on A extend uniquely to a pure state on B(H)? This question has deep connections to fundamental aspects of quantum physics, as is explained in the foreword by Klaas Landsman. The book starts with an accessible introduction to the concept of states and continues with a detailed proof of the classification of maximal Abelian von Neumann algebras, a very explicit construction of the Stone-Cech compactification and an account of the recent proof of the Kadison-Singer problem. At the end accessible appendices provide the necessary background material. This elementary account of the Kadison-Singer conjecture is very well-suited for graduate students interested in operator algebras and states, researchers who are non-specialists of the field, and/or interested in fundamental quantum physics.
電子資源:	http://dx.doi.org/10.1007/978-3-319-47702-2

The Kadison-Singer property[electronic resource] /
Stevens, Marco.

The Kadison-Singer property[electronic resource] /by Marco Stevens. - Cham :Springer International Publishing :2016. - x, 140 p. :ill., digital ;24 cm. - SpringerBriefs in mathematical physics,v.142197-1757 ;. - SpringerBriefs in mathematical physics ;v.1..

This book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces. The Kadison-Singer property deals with the following question: given a Hilbert space H and an abelian unital C*-subalgebra A of B(H), does every pure state on A extend uniquely to a pure state on B(H)? This question has deep connections to fundamental aspects of quantum physics, as is explained in the foreword by Klaas Landsman. The book starts with an accessible introduction to the concept of states and continues with a detailed proof of the classification of maximal Abelian von Neumann algebras, a very explicit construction of the Stone-Cech compactification and an account of the recent proof of the Kadison-Singer problem. At the end accessible appendices provide the necessary background material. This elementary account of the Kadison-Singer conjecture is very well-suited for graduate students interested in operator algebras and states, researchers who are non-specialists of the field, and/or interested in fundamental quantum physics.

ISBN: 9783319477022

Standard No.: 10.1007/978-3-319-47702-2doiSubjects--Topical Terms:

380640
Operator algebras.

LC Class. No.: QA326

Dewey Class. No.: 512.556

The Kadison-Singer property[electronic resource] /
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