• WEYL TYPE THEOREMS FOR k - QUASI - PARANORMAL OPERATORS

Abstract

An operator  is said to be k - quasi - paranormal operator if for every , k is a natural number. In this paper, we prove that the spectral mapping theorem for Weyl spectrum holds for k  - quasi - paranormal operators. Also we prove that the Weyl type theorems holds for k - quasi - paranormal. We also prove that if  is k - quasi - paranormal, then generalized a - Weyl's theorem holds for T.