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...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.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.11601130 and 11761029the Natural Science Foundation of the Department of Education of Henan Province under Grant No.16A110033and 17A110005Doctoral Foundation of Henan Normal University No.qd15133
文摘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.
