| 自反算子代数的导子和同构 |
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| 引用本文： | 侯成军,韩德广.自反算子代数的导子和同构[J].数学学报,1998,41(5):1003-1006. |
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| 作者姓名： | 侯成军 韩德广 |
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| 作者单位： | 复旦大学数学所(侯成军)，曲阜师范大学数学系(韩德广) |
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| 摘 要： | 本文证明了：Ｂａｎａｃｈ空间上完全分配格代数间的导子都是自动连续的；进而证明了套代数的可加导子是内的，套代数间的代数同构是自动连续的、空间的
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| 关 键 词： | 完全分配格代数，套代数，导子，代数同构 |
Derivations and Isomorphisms of Certain Reflexive Operator Algebras |
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| Hou Chengjun.Derivations and Isomorphisms of Certain Reflexive Operator Algebras[J].Acta Mathematica Sinica,1998,41(5):1003-1006. |
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| Authors: | Hou Chengjun |
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| Institution: | Hou Chengjun (Institute of Mathematics, FudanUniversity, Shanghai200433, China) Han Deguang (Department of Mathematics, Qufu Normal University, Qufu 273165, China) |
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| Abstract: | In this paper, we prove that every derivation of completely distributive subspace lattice algebra on Banach spaces is continuous, and obtain that additive derivations of nest algebras on Banach spaces are inner. We also prove that every isomorphism between nest algebras on Banach spaces is continuous and in addition is spatial. |
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| Keywords: | Completely distributive subspace lattice algebra Nest algebra Isomorphism Derivation |
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