Some Discussion About Weyl Type Theorems And Extended Properties On Banach Space

Research of Weyl type theorems is popular topic of functional analysis theory all the time.In recent years, efforts and devotion of many scholars at home and abroad enrich this system.Under this context,we discuss Weyl type theorems and extended properties on Banach space. In chapter1,we define a new operator and then use it to study Weyl type theorems.In chapter2,we systematically conclude direct sun results of Weyl type theorems and extended properties on Banach space. In chapter3,based on discussion of operator,we study direct sum results about operator polynomial.