| 含单位元Banach代数的广义左导子与广义导子的超稳定性(英文) |
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| 引用本文： | 赵建堂,曹怀信.含单位元Banach代数的广义左导子与广义导子的超稳定性(英文)[J].纺织高校基础科学学报,2009,22(3). |
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| 作者姓名： | 赵建堂 曹怀信 |
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| 作者单位： | 1. 咸阳师范学院,数学与信息科学学院,陕西,咸阳,712000
2. 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | Supported by the NNSFs of China(10571113,10871224) |
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| 摘 要： | 应用广义左导子和广义导子的相关概念 ,讨论了在含单位元的Banach代数上的广义左导子与广义导子的超稳定性 ,并在此基础上给出广义左导子与广义导子线性性的一些结论 .所得结果推广了 2008年S.-Y. Kang和I.-S. Chang给出的相关结果.
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| 关 键 词： | 超稳定性 广义左导子 广义导子 导子 Banach代数 |
Superstability for generalized left derivations and generalized derivations on a unital Banach algebra |
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| ZHAO Jian-tang,CAO Huai-xin.Superstability for generalized left derivations and generalized derivations on a unital Banach algebra[J].Basic Sciences Journal of Textile Universities,2009,22(3). |
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| Authors: | ZHAO Jian-tang CAO Huai-xin |
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| Abstract: | The conceptions of generalized left derivation and generalized derivation are applied,and the superstability of generalized left derivations and generalized derivations on a unital Banach algebra are discussed.Based on these,some results of the linear properties of generalized left derivations and generalized derivations are given.The results obtained in this note generalize the related results given by S.-Y.Kang and I.-S.Chang in 2008. |
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| Keywords: | superstability generalized left derivation generalized derivation derivation Banach algebra |
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