• 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.
Keywords
Banach space, a-Weyl’s theorem, single-valued extension property, quasi-nilpotent part, Kato type operator.
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