• WEYL TYPE THEOREMS FOR A-POLAROID OPERATOR

Abstract

If a Banach space operator  is a-polaroid then it satisfies a-Weyl’s theorem iff  has SVEP at . Also an a-polaroid operator can be described as a quasi-nilpotent part of an operator. For such an operator,  satisfies a-Weyl’s theorem for every non-constant function  analytic on a neighbourhood of  if and only if.