| φ-Derivations on Strongly Double Triangle Subspace Lattice Algebras |
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| 引用本文： | Yong Feng PANG ,Wei YANG ,Hong Ke DU .Department of Mathematics,School of Science,Xi’an University of Architecture , Technology,Shaanxi ,P.R.China,.College of Mathematics , Information Science,Shaanxi Normal University,Shaanxi .φ-Derivations on Strongly Double Triangle Subspace Lattice Algebras[J].数学研究与评论,2011,31(4). |
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| 作者姓名： | Yong Feng PANG Wei YANG Hong Ke DU . |
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| 作者单位： | Yong Feng PANG 1,Wei YANG 1,Hong Ke DU 2 1.Department of Mathematics,School of Science,Xi’an University of Architecture and Technology,Shaanxi 710055,P.R.China,2.College of Mathematics and Information Science,Shaanxi Normal University,Shaanxi 710062 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No.10871224); the Natural Science Young Foundation of Shaanxi Province (Grant No.2010JQ1003); the Natural Science Special Foundation of Education Department of Shaanxi Province (Grant No.08JK344); the Basic Research Foundation of Xi'an University of Architecture and Technology (Grant No.JC1009) |
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| 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.
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| 关 键 词： | generalized φ-derivations local φ-derivations φ-derivations at zero point strongly double triangle subspace lattice |
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