國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

The Kadison-Singer property

SpringerLink (Online service)

The Kadison-Singer property

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The Kadison-Singer propertyby 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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-47702-2
ISBN:	9783319477022$q(electronic bk.)

The Kadison-Singer property
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$q(electronic bk.)

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

247400
Operator algebras.

LC Class. No.: QA326

Dewey Class. No.: 512.556

The Kadison-Singer property
LDR:02049nmm a2200313 a 4500 001 500041
003 DE-He213
005 20161107055509.0
006 m d
007 cr nn 008maaau
008 170621s2016 gw s 0 eng d
020 $a 9783319477022$q(electronic bk.)
020 $a 9783319477015$q(paper)
024 7 $a 10.1007/978-3-319-47702-2 $2 doi
035 $a 978-3-319-47702-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA326
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
082 0 4 $a 512.556 $2 23
090 $a QA326 $b .S845 2016
100 1 $a Stevens, Marco. $3 763206
245 1 4 $a The Kadison-Singer property $h [electronic resource] / $c by Marco Stevens.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a x, 140 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematical physics, $x 2197-1757 ; $v v.14
520 $a 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.
650 0 $a Operator algebras. $3 247400
650 0 $a Hilbert space. $3 184635
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Operator Theory. $3 274795
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Functional Analysis. $3 274845
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematical physics ; $v v.1. $3 683312
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-47702-2
950 $a Mathematics and Statistics (Springer-11649)