Problem of invariant subspaces in C*-algebras  

作　　者：张伦传 

出　　处：《Science China Mathematics》2002年第5期545-548,共4页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China (Grant No. 10101026).

摘　　要：Let A be a separable simple C*-algebra. For each ;) on A such that π(a) has a non-trivial invariant subspace in Hπ.Let A be a separable simple C*-algebra. For each a(≠0) in A, there exists a separable faithful and irreducible * representation (π, Hπ) on A such that π(a) has a non-trivial invariant subspace in Hπ.

关 键 词：C*-algebras  IRREDUCIBLE * representation  INVARIANT subspace. 

分 类 号：O177.5[理学—数学]