THE ESSENTIAL SPECTRA OF OPERATORS QUASISIMILAR TO SUBNORMAL OPERATORS  

作　　者：林辰 严子锟 

机构地区：[1]Department of Mathematics, Fujian Normal University, Fuzhou 350007, PRC

出　　处：《Chinese Science Bulletin》1992年第20期1679-1682,共3页

基　　金：Project supported by the Science Foundation of Fujian Province

摘　　要：Yang Liming showed in 1988 that if S is a subnormal operator, T is a hyponormal operator and T and S are quasisimilar, then σ_e(S)(?) σ_e(T), and hence he deduced the conclusion that two quasisimilar subnormal operators have equal essential spectra. This is an important result in the theory of quasisimilarity. In this note we improve Yang’s method to show that if S or S is subnormal, T is a bounded linear operator and T and S are quasisimilar, then σ_e(S) (?) σ_e(T).

关 键 词：BOUNDED LINEAR OPERATOR QUASISIMILARITY SUBNORMAL OPERATOR 

分 类 号：N[自然科学总论]