自反算子代数的导子和同构  

Derivations and Isomorphisms of Certain Reflexive Operator Algebras

作　　者：侯成军[1] 韩德广[2] 

机构地区：[1]复旦大学数学所 [2]曲阜师范大学数学系

出　　处：《数学学报（中文版）》1998年第5期1003-1006,共4页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金

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。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.

关 键 词：套代数 导子 代数同构 自反算子代数 

分 类 号：O177.5[理学—数学]