Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8906139 | Indagationes Mathematicae | 2017 | 7 Pages |
Abstract
Let GLn(C) be a complex general linear group and DGLn(C) be its subgroup comprising nÃn diagonal matrices in which the diagonal elements are non-zero complex numbers. In this paper we present some general results on Jordan triple product maps between GLn(C) and GLm(C). The result is applied to determine the structure of Jordan triple product maps between GLn(C) and GL1(C)â
Câ. As a main result we present the general form of all continuous Jordan triple product maps from the group GLn(C) to the group Câ. Also, we characterize the general form of all continuous maps between the groups DGLn(C) and DGLm(C) that preserve the Jordan triple product. These are the continuous maps Ï:DGLn(C)âDGLm(C) which satisfy Ï(VWV)=Ï(V)Ï(W)Ï(V),V,WâDGLn(C).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Ali Taghavi, Sadegh Salehi,