An Abstract Algebraic-Topological Approach to the Notions of a First and Second Dual Space III - NZJM

New Zealand Journal of Mathematics

Harry Poppe¹  René Bartsch² 

[1] University of Rostock,Dept. of Math.,Ulmenstr. 69,18057 Rostock,Germany.$$;TU Darmstadt,Dept. of Math.,Schlossgartenstr. 7,64289 Darmstadt,Germany.$$

关键词: second dual;    noncommutative C * -algebra;    Gelfand theorem.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

Here we continue to develop a concept, that generalizes the idea of the second dual space of a normed vector space in a fairly general way. As in the part before, the main tool is to recognize the "first dual" as a means to the end of the second dual.Especially, we will easily prove here some essential statements on embeddings of noncommutative C * -algebras in their second dual, as whose analogues are known in the commutative setting.

【 授权许可】

Unknown