Weyl Type Theorem for Bounded Linear Operator and Its Functional Calculus

作     者：Gao Hui Zi FENG Peng Tong LI Gao Hui Zi FENG;Peng Tong LI

作者机构：School of MathematicsNanjing University of Aeronautics and AstronauticsNanjing 210016P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2024年第40卷第2期

页      面：528-536页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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

主　　题：a-Weyl's theorem property(R) functional calculus 

摘      要：Let H be a complex infinite dimensional Hilbert space and B(H)be the algebra of all bounded linear operators on *** 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 *** give the features for the operator or its functional calculus for which both a-Weyl s theorem and property(R)hold.