國立虎尾科技大學 |

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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Non-associative normed algebras./ Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada.
Author:	Cabrera García, Miguel,
other author:	Rodriguez Palacios, Ángel,
Description:	1 online resource (xxii, 712 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Banach algebras. -
Online resource:	https://doi.org/10.1017/CBO9781107337763
ISBN:	9781107337763 (ebook)

Non-associative normed algebras.. Volume 1,. The Vidav-Palmer and Gelfand-Naimark theorems /
Cabrera García, Miguel,

Non-associative normed algebras.Volume 1,The Vidav-Palmer and Gelfand-Naimark theorems /Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada. - 1 online resource (xxii, 712 pages) :digital, PDF file(s). - Encyclopedia of mathematics and its applications ;volume 154. - Encyclopedia of mathematics and its applications ;v. 82..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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: 9781107337763 (ebook)Subjects--Topical Terms:

791992
Banach algebras.

LC Class. No.: QA326 / .C33 2014

Dewey Class. No.: 512/.554

Non-associative normed algebras.. Volume 1,. The Vidav-Palmer and Gelfand-Naimark theorems /
LDR:02167nam a2200289 i 4500 001 1122593
003 UkCbUP
005 20160519125837.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2014||||enk o ||1 0|eng|d
020 $a 9781107337763 (ebook)
020 $z 9781107043060 (hardback)
035 $a CR9781107337763
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA326 $b .C33 2014
082 0 0 $a 512/.554 $2 23
100 1 $a Cabrera García, Miguel, $e author. $3 1438918
245 1 0 $a Non-associative normed algebras. $n Volume 1, $p The Vidav-Palmer and Gelfand-Naimark theorems / $c Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada.
264 1 $a Cambridge : $b Cambridge University Press, $c 2014.
300 $a 1 online resource (xxii, 712 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
490 1 $a Encyclopedia of mathematics and its applications ; $v volume 154
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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 791992
650 0 $a Algebra. $2 gtt $3 579870
700 1 $a Rodriguez Palacios, Ángel, $e author. $3 1438919
776 0 8 $i Print version: $z 9781107043060
830 0 $a Encyclopedia of mathematics and its applications ; $v v. 82. $3 833009
856 4 0 $u https://doi.org/10.1017/CBO9781107337763