A Note on Strong η-Lie Products Preserving Maps on Some Algebras

被引:0
|
作者
Taghavi, Ali [1 ]
Kolivand, Farzaneh [1 ]
Rohi, Hamid [1 ]
机构
[1] Univ Mazandaran, Fac Math Sci, Dept Math, POB 47416-1468, Babol Sar, Iran
关键词
Preserving problems; skew product maps; C*-algebras; POLYNOMIAL XY; ADDITIVITY; ASTERISK;
D O I
10.1007/s00009-016-0824-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let A be an algebra. Under particular assumptions on A, in this paper we determine the explicit form of any map psi on A which satisfies psi(A)psi(P) + eta psi(P)psi(A) = AP + eta PA for each A is an element of A, some idempotent or projection P is an element of A and some eta is an element of C.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] A note on strong (skew) η-Lie products preserving maps on some algebras
    Taghavi, Ali
    Kolivand, Farzaneh
    Tavakoli, Ensiyeh
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (05): : 886 - 895
  • [2] NONLINEAR MAPS ON SIMPLE LIE ALGEBRAS PRESERVING LIE PRODUCTS
    Wang, Dengyin
    Zhao, Yanxia
    Chen, Zhengxin
    COMMUNICATIONS IN ALGEBRA, 2011, 39 (02) : 424 - 434
  • [3] Nonlinear maps preserving Lie products on triangular algebras
    Yu, Weiyan
    SPECIAL MATRICES, 2016, 4 (01): : 56 - 66
  • [4] Strong commutativity preserving maps of strictly triangular matrix Lie algebras
    Chen, Zhengxin
    Liu, Hongjin
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2019, 18 (07)
  • [5] Strong (skew) xi-Lie commutativity preserving maps on algebras
    Gong, Lin
    Qi, Xiaofei
    Shao, Jie
    Zhang, Feifei
    COGENT MATHEMATICS, 2015, 2
  • [6] Nonlinear maps preserving Lie products on factor von Neumann algebras
    Zhang, Jian-Hua
    Zhang, Fang-Juan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 429 (01) : 18 - 30
  • [7] MAPS PRESERVING STRONG SKEW LIE PRODUCT ON FACTOR VON NEUMANN ALGEBRAS
    崔建莲
    Choonkil Park
    Acta Mathematica Scientia, 2012, 32 (02) : 531 - 538
  • [8] MAPS PRESERVING STRONG SKEW LIE PRODUCT ON FACTOR VON NEUMANN ALGEBRAS
    Cui Jianlian
    Park, Choonkil
    ACTA MATHEMATICA SCIENTIA, 2012, 32 (02) : 531 - 538
  • [9] MAPS PRESERVING STRONG PRODUCTS
    Tavakoli, Ensiyeh
    Taghavi, Ali
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021, 51 (01) : 315 - 325
  • [10] Maps on Mn preserving lie products
    Dolinar, Gregor
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2007, 71 (3-4): : 467 - 477