On Local Spectral Properties of Hamilton Type Operators  

作　　者：Jun-li SHEN Alatancang 

机构地区：[1]College of Computer and Information Technology, Henan Normal University, Xinxiang 453007, China [2]School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021,China [3]Department of Mathematics, Hohhot Minzu College, Hohhot 010051, China

出　　处：《Acta Mathematicae Applicatae Sinica》2018年第1期173-182,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.11601130 and 11761029;the Natural Science Foundation of the Department of Education of Henan Province under Grant No.16A110033and 17A110005;Doctoral Foundation of Henan Normal University No.qd15133

摘　　要：In this paper, we introduce the class of Hamilton type operators and study various properties of this class. We show that every Hamilton type operator with property（β） or（δ） is decomposable. In addition,we prove that a Hamilton type operator T satisfies property（β）, Dunford＇s property（C） and Weyl＇s theorem if and only if its adjoint does.In this paper, we introduce the class of Hamilton type operators and study various properties of this class. We show that every Hamilton type operator with property（β） or（δ） is decomposable. In addition,we prove that a Hamilton type operator T satisfies property（β）, Dunford＇s property（C） and Weyl＇s theorem if and only if its adjoint does.

关 键 词：Hamilton type operators property （β） property （C） DECOMPOSABILITY Weyl＇s theorem 

分 类 号：O1[理学—数学]