000 02429nam a22003618i 4500
001 CR9781107337763
003 UkCbUP
005 20200124160243.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 130208s2014||||enk o ||1 0|eng|d
020 _a9781107337763 (ebook)
020 _z9781107043060 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA326
_b.C33 2014
082 0 0 _a512/.554
_223
100 1 _aCabrera García, Miguel,
_eauthor.
245 1 0 _aNon-associative normed algebras.
_nVolume 1,
_pThe Vidav-Palmer and Gelfand-Naimark theorems /
_cMiguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada.
264 1 _aCambridge :
_bCambridge University Press,
_c2014.
300 _a1 online resource (xxii, 712 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aEncyclopedia of mathematics and its applications ;
_vvolume 154
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 _aBanach algebras.
650 0 _aAlgebra.
700 1 _aRodriguez Palacios, Ángel,
_eauthor.
776 0 8 _iPrint version:
_z9781107043060
830 0 _aEncyclopedia of mathematics and its applications ;
_vv. 154.
856 4 0 _uhttps://doi.org/10.1017/CBO9781107337763
999 _c518736
_d518734