φ-Derivations on Strongly Double Triangle Subspace Lattice Algebras

被引:0
|
作者
Yong Feng PANG Wei YANG Hong Ke DU Department of MathematicsSchool of ScienceXian University of Architecture and TechnologyShaanxi PRChinaCollege of Mathematics and Information ScienceShaanxi Normal UniversityShaanxi PRChina [1 ,1 ,2 ,1 ,710055 ,2 ,710062 ]
机构
关键词
D O I
暂无
中图分类号
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号
摘要
Let D = {{0},K,L,M,X } be a strongly double triangle subspace lattice on a non- zero complex reflexive Banach space X ,which satisfies that one of three sums K + L,L + M and M + K is closed.It is shown that local φ-derivations and φ-derivations at zero point on AlgD are generalized φ-derivations.
引用
收藏
页码:721 / 726
页数:6
相关论文
共 50 条
  • [31] DOUBLE DERIVATIONS OF n-LIE ALGEBRAS
    Bai, R.
    Gao, Y.
    Zhang, Y.
    Li, Z.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (03) : 897 - 910
  • [32] AUTOMATIC CONTINUITY OF (δ, ε)-DOUBLE DERIVATIONS ON C*-ALGEBRAS
    Hosseini, Amin
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2017, 79 (03): : 67 - 72
  • [33] Jordan isomorphism of J-subspace lattice algebras
    Lu, FY
    Li, PT
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 371 : 255 - 264
  • [34] Elementary operators on J-subspace lattice algebras
    Li, PT
    Lu, FY
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2003, 68 (03) : 395 - 404
  • [35] On derivations of linguistic truth-valued lattice implication algebras
    Hua Zhu
    Yi Liu
    Yang Xu
    International Journal of Machine Learning and Cybernetics, 2018, 9 : 611 - 620
  • [36] Lie derivations of non-strongly maximal triangular UHF algebras
    Wang, Lin
    Fang, Xiaochun
    Tongji Daxue Xuebao/Journal of Tongji University, 2008, 36 (02): : 280 - 284
  • [37] On derivations of linguistic truth-valued lattice implication algebras
    Zhu, Hua
    Liu, Yi
    Xu, Yang
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2018, 9 (04) : 611 - 620
  • [38] Jordan elementary operators on J-subspace lattice algebras
    Li, Pengtong
    Lu, Fangyan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (11-12) : 2675 - 2687
  • [39] LIE-ALGEBRAS WHOSE LATTICE OF IDEALS IS CLOSELY-RELATED WITH A SUBSPACE LATTICE
    BENITO, MP
    COMMUNICATIONS IN ALGEBRA, 1994, 22 (07) : 2529 - 2545
  • [40] DERIVATIONS AND SKEW DERIVATIONS OF THE GRASSMANN ALGEBRAS
    Bavula, V. V.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2009, 8 (06) : 805 - 827