中文摘要：

研究了复可分Hilbert空间上有限宽格代数和完全分配的CSL代数上的局部φ-导子．利用投影算子的方法和技巧，证明了：FCIN代数Algγ上的任何范数连续的局部φ-导子是局部导子，从CDC代数Algγ到β（И）的包含AlgS的一个超弱闭的子代数么上的任何范数连续的局部φ导子是局部导子．

英文摘要：

Local φ-derivations on some CLS algebras are discussed. The generated by finite commuting independent nests, the other is completely distributive commutative subspace lattice. Using proiection operators in algebra of subspace lattice, firstly it is proved that every norm continuous local φ-derivation on a FCIN algebra is a φ-derivation. it is shown that every norm continuous local φ-derivation on a CDC algebra is a φ-derivation.