000 02334nam a22003618i 4500
001 CR9781107337817
003 UkCbUP
005 20200124160338.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 130208s2018||||enk o ||1 0|eng|d
020 _a9781107337817 (ebook)
020 _z9781107043114 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 4 _aQA326
_b.C33 2018
082 0 4 _a512/.554
_223
100 1 _aCabrera García, Miguel,
_eauthor.
245 1 0 _aNon-associative normed algebras.
_nVolume 2,
_pRepresentation theory and the Zel'manov approach /
_cMiguel Cabrera García, Ángel Rodríguez Palacios.
264 1 _aCambridge :
_bCambridge University Press,
_c2018.
300 _a1 online resource (xxvii, 729 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 ;
_v167
500 _aTitle from publisher's bibliographic system (viewed on 24 Apr 2018).
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 second volume revisits JB*-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav-Palmer theorem, and develops the representation theory of alternative C*-algebras and non-commutative JB*-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand-Naimark and Vidav-Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography.
650 0 _aBanach algebras.
650 0 _aAlgebra.
700 1 _aRodríguez Palacios, Ángel,
_eauthor.
776 0 8 _iPrint version:
_z9781107043114
830 0 _aEncyclopedia of mathematics and its applications ;
_v167.
856 4 0 _uhttps://doi.org/10.1017/9781107337817
999 _c523246
_d523244