Jordan triple derivations on J-subspace lattice algebras

被引：1
|
作者：
Qi, Xiao Fei [1 ]
Hou, Jin Chuan [2 ]
机构：
[1] Shanxi Univ, Dept Math, Taiyuan 030006, Peoples R China
[2] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2012年 / 28卷 / 02期
基金：
高等学校博士学科点专项科研基金;
关键词：
J-subspace lattice algebra; Jordan triple derivations; generalized Jordan triple derivations; generalized Jordan derivations;
D O I：
10.1007/s10114-012-9524-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let L be a J-subspace lattice on a Banach space X and AlgL the associated J-subspace lattice algebra. Let A be a standard operator subalgebra (i.e., it contains all finite rank operators in AlgL) of AlgL and M aS dagger B(X) the AlgL-bimodule. It is shown that every linear Jordan triple derivation from A into M is a derivation, and that every generalized Jordan (triple) derivation from A into M is a generalized derivation.
引用
收藏
页码：417 / 424
页数：8
相关论文
共 50 条
  • [21] NONLINEAR MIXED JORDAN TRIPLE *-DERIVATIONS ON *-ALGEBRAS
    Li, C.
    Zhang, D.
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (04) : 735 - 742
  • [22] Derivations and local derivations on strongly double triangle subspace lattice algebras
    Pang Yongfeng
    Yang Wei
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (07): : 855 - 862
  • [23] THE SECOND NONLINEAR MIXED JORDAN TRIPLE *-DERIVATIONS ON *-ALGEBRAS
    Zhao, Fangfang
    Zhang, Dongfang
    Chen, Quanyuan
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2024, 54 (03) : 919 - 927
  • [24] NONLINEAR *-JORDAN TRIPLE DERIVATIONS ON VON NEUMANN ALGEBRAS
    Zhao, Fangfang
    Li, Chanjing
    [J]. MATHEMATICA SLOVACA, 2018, 68 (01) : 163 - 170
  • [25] φ-Derivations on Strongly Double Triangle Subspace Lattice Algebras
    Yong Feng PANG 1
    2.College of Mathematics and Information Science
    [J]. Journal of Mathematical Research with Applications, 2011, (04) : 721 - 726
  • [26] φ-Derivations on Strongly Double Triangle Subspace Lattice Algebras
    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
    [J]. 数学研究与评论, 2011, 31 (04) : 721 - 726
  • [27] Notes on Jordan (σ, τ)*-derivations and Jordan triple (σ, τ)*-derivations
    Golbasi, Oznur
    Koc, Emine
    [J]. AEQUATIONES MATHEMATICAE, 2013, 85 (03) : 581 - 591
  • [28] Notes on Jordan (σ, τ)*-derivations and Jordan triple (σ, τ)*-derivations
    Öznur Gölbaşı
    Emine Koç
    [J]. Aequationes mathematicae, 2013, 85 : 581 - 591
  • [29] Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras
    Ma, Ai-qun
    Chen, Lin
    Qin, Zijie
    [J]. AIMS MATHEMATICS, 2023, 8 (03): : 6026 - 6035
  • [30] Generalized Lie (Jordan) Triple Derivations on Arbitrary Triangular Algebras
    Ashraf, Mohammad
    Akhtar, Mohd Shuaib
    Ansari, Mohammad Afajal
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (06) : 3767 - 3776
12345