• WEYL TYPE THEOREMS FOR A-POLAROID OPERATOR

Anuradha Gupta*

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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