|
|
|
|
LEADER |
01890nmm a2200265 u 4500 |
001 |
EB001853692 |
003 |
EBX01000000000000001017995 |
005 |
00000000000000.0 |
007 |
cr||||||||||||||||||||| |
008 |
181108 ||| eng |
020 |
|
|
|a 9781107337817
|
050 |
|
4 |
|a QA326
|
100 |
1 |
|
|a Cabrera García, Miguel
|
245 |
0 |
0 |
|a Non-associative normed algebras, Volume 2: Representation theory and the Zel'manov approach
|c Miguel Cabrera García, Ángel Rodríguez Palacios
|
260 |
|
|
|a Cambridge
|b Cambridge University Press
|c 2018
|
300 |
|
|
|a xxvii, 729 pages
|b digital
|
653 |
|
|
|a Banach algebras
|
653 |
|
|
|a Algebra
|
700 |
1 |
|
|a Rodríguez Palacios, Ángel
|e [author]
|
041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
989 |
|
|
|b CBO
|a Cambridge Books Online
|
490 |
0 |
|
|a Encyclopedia of mathematics and its applications
|
856 |
4 |
0 |
|u https://doi.org/10.1017/9781107337817
|x Verlag
|3 Volltext
|
082 |
0 |
|
|a 512.554
|
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 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
|