某些CSL代数上的2-局部φ-导子  

2-Localφ-derivations on certain CSL algebras

作　　者：庞永锋[1] 杨威[1] 张芳娟[2] 

机构地区：[1]西安建筑科技大学理学院,西安710055 [2]西安外事学院信息工程学院,西安710077

出　　处：《兰州大学学报（自然科学版）》2009年第2期85-89,共5页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(10871224);陕西省教育厅自然科学专项基金项目(08JK344);西安建筑科技大学人才基金项目(RC0817)

摘　　要：考虑复可分Hilbert空间上的某些CSL代数,研究了复可分Hilbert空间上有限宽格代数和完全分配的交换子空间格代数上的2-局部φ-导子.利用投影算子的方法和技巧,证明了FCIN代数和CDC代数Alg■上的任何范数连续的2-局部φ-导子是φ-导子.2-local Ф-derivations from some CSL algebras on a complex separable Hilbert space were studied. The lattice generated by finite commuting independent nests and completely distributive and commutative nests were two special types of CSL. First, it was proved that every norm continuous 2-local Ф-derivation from a FCIN algebra is a Ф-derivation. Second, it was shown that every norm continuous 2-local Ф-derivation from a CDC algebra into any ultraweakly closed subalgebra containing the algebra is a Ф-derivation.

关 键 词：FCIN代数 CDC代数 2-局部φ-导子 

分 类 号：O177.1[理学—数学]