Weyl Type Theorem for Bounded Linear Operator and Its Functional Calculus  

作　　者：Gao Hui Zi FENG Peng Tong LI 

机构地区：[1]School of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第2期528-536,共9页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11671201)。

摘　　要：Let H be a complex infinite dimensional Hilbert space and B(H)be the algebra of all bounded linear operators on H.In this paper,we mainly study the operators that satisfy both a-Weyl's theorem and property(R).Also,the operators whose functional calculus satisfies the two properties are also explored.We give the features for the operator or its functional calculus for which both a-Weyl's theorem and property(R)hold.

关 键 词：a-Weyl's theorem property(R) functional calculus 

分 类 号：O177[理学—数学]