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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Non-associative normed algebras./ Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada.
作者:	Cabrera García, Miguel,
其他作者:	Rodriguez Palacios, Ángel,
面頁冊數:	1 online resource (xxii, 712 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Algebra. -
電子資源:	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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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:

579870
Algebra.

LC Class. No.: QA326 / .C33 2014

Dewey Class. No.: 512/.554

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