• 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.
Keywords
Paranormal operator, k - quasi - paranormal operator , Weyl's theorem, k - quasi - * - class A operator, Riesz idempotent, generalized a - Weyl's theorem, B - Fredholm, B – Weyl
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