文献类型：期刊文献

英文题名：ON GENERALIZED (M, N, L)-JORDAN CENTRALIZERS OF SOME ALGEBRAS

作者：Li, Jiankui[1];Shen, Qihua[1];Guo, Jianbin[1]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2012

卷号：6

期号：2

起止页码：19

外文期刊名：BANACH JOURNAL OF MATHEMATICAL ANALYSIS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000308738200002)】；

基金：This work is supported by NSF of China.

语种：英文

外文关键词：CSL algebra; centralizer; (m, n, l)-Jordan centralizer; Generalized matrix algebra; Reflexive algebra

摘要：Let A be a unital algebra over a number field K. A linear mapping delta from A into itself is called a generalized (m, n, l)-Jordan centralizer if it satisfies (m + n + l)delta(A(2)) - m delta(A)A - nA delta(A) - lA delta(I)A is an element of KI for every A is an element of A, where m >= 0, n >= 0,l >= 0 are fixed integers with m + n + l not equal 0. In this paper, we study generalized (m, n, l)-Jordan centralizers on generalized matrix algebras and some reflexive algebras algL, where L is a CSL or satisfies boolean OR{L : L is an element of J(C)} = X or boolean AND{L_ : L is an element of J(L)} = (0), and prove that each generalized (m, n, l)-Jordan centralizer of these algebras is a centralizer when m + l >= 1 and n + l >= 1.