| $\phi$-Derivations on Strongly Double Triangle Subspace Lattice Algebras |
| Received:December 21, 2009 Revised:October 03, 2010 |
| Key Words:
generalized $\phi$-derivations local $\phi$-derivations $\phi$-derivations at zero point strongly double triangle subspace lattice.
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| Fund Project: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) and the Basic Research Foundation of Xi'an University of Architecture and Technology (Grant No.JC1009). |
| Author Name | Affiliation | | Yong Feng PANG | Department of Mathematics, School of Science, Xi'an University of Architecture and Technology, Shaanxi 710055, P. R. China | | Wei YANG | Department of Mathematics, School of Science, Xi'an University of Architecture and Technology, Shaanxi 710055, P. R. China | | Hong Ke DU | College of Mathematics and Information Science, Shaanxi Normal University, Shaanxi 710062, P. R. China |
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| Abstract: |
| Let ${\cal D}=\{\{0\}, K,L,M,\cal{X}\}$ be a strongly double triangle subspace lattice on a non-zero complex reflexive Banach space $\cal{X}$, which satisfies that one of three sums $K L$, $L M$ and $M K$ is closed. It is shown that local $\phi$-derivations and $\phi$-derivations at zero point on Alg$\cal D$ are generalized $\phi$-derivations. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.04.018 |
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