ADDITIVITY OF MAPS ON TRIANGULAR ALGEBRAS

被引:0
|
作者
Cheng, Xuehan [1 ]
Jing, Wu [2 ]
机构
[1] Ludong Univ, Coll Math & Informat, Yantai 264025, Peoples R China
[2] Fayetteville State Univ, Dept Math & Comp Sci, Fayetteville, NC 28301 USA
来源
ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2008年 / 17卷
关键词
Multiplicative maps; Jordan maps; Jordan triple maps; Elementary maps; Triangular algebras; Standard operator algebras; Additivity;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, it is proven that every multiplicative bijective map, Jordan bijective map, Jordan triple bijective map, and elementary surjective map on triangular algebras is automatically additive.
引用
收藏
页码:597 / 615
页数:19
相关论文
共 50 条
  • [1] Additivity of Jordan maps on triangular algebras
    Du, Yiqiu
    Wang, Yu
    LINEAR & MULTILINEAR ALGEBRA, 2012, 60 (08): : 933 - 940
  • [2] Additivity of Lie multiplicative maps on triangular algebras
    Qi, Xiaofei
    Hou, Jinchuan
    LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (04): : 391 - 397
  • [3] Additivity of multiplicative maps on triangular rings
    Wang, Yu
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 434 (03) : 625 - 635
  • [4] Additivity of Quadratic Maps on JB Algebras
    Hamhalter, Jan
    Turilova, Ekaterina
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (10) : 1483 - 1488
  • [5] Additivity of Lie maps on operator algebras
    Qian, Jia
    Li, Pengtong
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (02) : 271 - 279
  • [6] Additivity of Quadratic Maps on JB Algebras
    Jan Hamhalter
    Ekaterina Turilova
    Lobachevskii Journal of Mathematics, 2019, 40 : 1483 - 1488
  • [7] ADDITIVITY OF MAPS ON GENERALIZED MATRIX ALGEBRAS
    Li, Yanbo
    Xiao, Zhankui
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2011, 22 : 743 - 757
  • [8] Additivity of Jordan maps on Jordan algebras
    Ji, Peisheng
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (1-2) : 179 - 188
  • [9] Jordan maps on triangular algebras
    Peisheng, Ji
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 426 (01) : 190 - 198
  • [10] Commuting maps of triangular algebras
    Cheung, WS
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2001, 63 : 117 - 127