Irreducible Operators and Spectral Pictures  

作　　者：蒋春澜 续辉 

机构地区：[1]Department of Mathematics, Jilin University, Changchun 130023, PRC

出　　处：《Chinese Science Bulletin》1994年第24期2025-2027,共3页

摘　　要：A (bounded finear) operator T on a (separable, infinite, dimensional, complex) Hilbert space (?) is said to be irreducible if there is no nontrivial (orthogonal) projection P commuting with T. In Ref. [1], Halmos proved that the set of all irreducible operators is dense in (?)((?)), the algebra of all bounded operators on (?). Gilfeather proved that every normal operator without eigenvalue is similar to an irreducible operator.

关 键 词：SPECTRAL PICTURE IRREDUCIBLE operator. 

分 类 号：O177[理学—数学]