| 套代数上的高阶全可导点 |
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| 引用本文： | 甄南南,朱军,杨文雷. 套代数上的高阶全可导点[J]. 杭州电子科技大学学报, 2012, 0(3): 87-90 |
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| 作者姓名： | 甄南南 朱军 杨文雷 |
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| 作者单位： | 杭州电子科技大学数学研究所,浙江杭州310018 |
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| 摘 要： | 设Q是Hilbert空间H上的非平凡完备套,{dn：n∈N}是H上的一族线性映射。如果dn（ST）=∑i＋j=ndi（S）dj（T）,S,T∈AlgQ,ST=G,则称dn在G点高阶可导。如果每一个在G点高阶可导的线性映射都是高阶导子,则称G点为高阶全可导点。该文利用数学归纳法证明G∈AlgQ是高阶全可导点当且仅当G≠0。
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| 关 键 词： | 套代数 高阶全可导点 高阶导子 |
Characterizations of Higher All-derivable Points in Nest Algebras |
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| ZHEN Nan-nan,ZHU Jun,YANG Wen-lei. Characterizations of Higher All-derivable Points in Nest Algebras[J]. Journal of Hangzhou Dianzi University, 2012, 0(3): 87-90 |
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| Authors: | ZHEN Nan-nan ZHU Jun YANG Wen-lei |
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| Affiliation: | ( Institute of Mathematics, Hangzhou Dianzi University, Hangzhou Zhejiang 31 0018, China) |
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| Abstract: | Let be a complete nest on a Hilbert space .We say that is a higher derivable mapping at if for any with . An element is called a higher all-derivable point of if every higher derivable linear mapping at is a high- er derivation.In this paper, we prove that an operator is a higher all-derivable point if and only if by mathe- matical induction. |
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| Keywords: | nest algebra higher all-derivable point higher derivation |
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