大葉大學圖書館 |

Non-associative normed algebras.[electronic resource] /Volume 1,The Vidav-Palmer and Gelfand-Naimark theorems

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	512.554
書名/作者:	Non-associative normed algebras./ Miguel Cabrera Garcia, Angel Rodriguez Palacios.
其他題名:	The Vidav-Palmer and Gelfand-Naimark theorems
作者:	Cabrera Garcia, Miguel.
其他作者:	Rodriguez Palacios, Angel.
出版者:	Cambridge : : Cambridge University Press,, 2014.
面頁冊數:	xxii, 712 p. : : ill., digital ;; 24 cm.
標題:	Banach algebras.
標題:	Algebra.
ISBN:	9781107337763
ISBN:	9781107043060
摘要、提要註:	This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C-algebras provided by the so-called non-associative Gelfand-Naimark and Vidav-Palmer theorems, which give rise to alternative C-algebras and non-commutative JB-algebras, respectively. The relationship between non-commutative JB-algebras and JB-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography.
電子資源:	https://doi.org/10.1017/CBO9781107337763

Non-associative normed algebras.[electronic resource] /Volume 1,The Vidav-Palmer and Gelfand-Naimark theorems
Cabrera Garcia, Miguel.

Non-associative normed algebras.Volume 1,The Vidav-Palmer and Gelfand-Naimark theorems[electronic resource] /The Vidav-Palmer and Gelfand-Naimark theoremsMiguel Cabrera Garcia, Angel Rodriguez Palacios. - Cambridge :Cambridge University Press,2014. - xxii, 712 p. :ill., digital ;24 cm. - Encyclopedia of mathematics and its applications ;154. - Encyclopedia of mathematics and its applications ;v. 143..

This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand-Naimark and Vidav-Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography.

ISBN: 9781107337763Subjects--Topical Terms:

627603
Banach algebras.

LC Class. No.: QA326 / .C33 2014

Dewey Class. No.: 512.554

Non-associative normed algebras.[electronic resource] /Volume 1,The Vidav-Palmer and Gelfand-Naimark theorems
LDR:01947nmm a2200265 a 4500 001 491958
003 UkCbUP
005 20160519125837.0
006 m d
007 cr nn 008maaau
008 210201s2014 enk o 1 0 eng d
020 $a 9781107337763 $q (electronic bk.)
020 $a 9781107043060 $q (paper)
035 $a CR9781107337763
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA326 $b .C33 2014
082 0 4 $a 512.554 $2 23
090 $a QA326 $b .C117 2014
100 1 $a Cabrera Garcia, Miguel. $3 711895
245 1 0 $a Non-associative normed algebras. $n Volume 1, $p The Vidav-Palmer and Gelfand-Naimark theorems $h [electronic resource] / $c Miguel Cabrera Garcia, Angel Rodriguez Palacios.
246 3 0 $a The Vidav-Palmer and Gelfand-Naimark theorems
260 $a Cambridge : $b Cambridge University Press, $c 2014.
300 $a xxii, 712 p. : $b ill., digital ; $c 24 cm.
490 1 $a Encyclopedia of mathematics and its applications ; $v 154
520 $a This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand-Naimark and Vidav-Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography.
650 0 $a Banach algebras. $3 627603
650 0 $a Algebra. $3 189734
700 1 $a Rodriguez Palacios, Angel. $3 711896
830 0 $a Encyclopedia of mathematics and its applications ; $v v. 143. $3 641511
856 4 0 $u https://doi.org/10.1017/CBO9781107337763