| 算子代数上2-局部Lie三重导子的结构 |
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| 引用本文： | 王婷,谭冰. 算子代数上2-局部Lie三重导子的结构[J]. 数学的实践与认识, 2021, 0(1): 239-245 |
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| 作者姓名： | 王婷 谭冰 |
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| 作者单位： | 1.南阳师范学院数学与统计学院 |
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| 基金项目： | 国家自然科学基金(41876219);河南省高等学校重点科研项目(18B110015,19A110029)。 |
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| 摘 要： | 设X是维数大于2的Banach空间,映射δ:B(X)→B(X)是2-局部Lie三重导子,则对所有A∈B(X)有δ(A)=[A,T]+ψ(A),这里T∈B(X),ψ是从B(X)到FI的齐次映射且满足对所有A,B∈B(X)有ψ(A+B)=ψ(A),其中B是交换子的和.
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| 关 键 词： | Lie导子 2-局部Lie导子 2-局部Lie三重导子 |
Characterizations of 2-local Lie Triple Derivations of Operator Algebras |
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| WANG Ting,TAN Bing. Characterizations of 2-local Lie Triple Derivations of Operator Algebras[J]. Mathematics in Practice and Theory, 2021, 0(1): 239-245 |
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| Authors: | WANG Ting TAN Bing |
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| Affiliation: | (School of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China) |
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| Abstract: | Let X be a Banach space of dimension greater than 2,and the mapδ:B(X)→B(X)is a 2-local Lie triple derivation,then it has the formδ(A)=AT-TA+φ(A)where T E B(X)andφis homogeneous map from B(X)into FI satisfyingφ(A+B)=φ(A)for A,B∈B(X)with B being a sum of commutators. |
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| Keywords: | Lie derivation 2-local Lie derivation 2-local Lie triple derivation |
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