Weyl ’ s Theorem for Algebraically Paranormal Operators

  title={Weyl ’ s Theorem for Algebraically Paranormal Operators},
  author={Raul Curto and Young Min Han},
Let T be an algebraically paranormal operator acting on Hilbert space. We prove : (i) Weyl’s theorem holds for f(T ) for every f ∈ H(σ(T )); (ii) a-Browder’s theorem holds for f(S) for every S ≺ T and f ∈ H(σ(S)); (iii) the spectral mapping theorem holds for the Weyl spectrum of T and for the essential approximate point spectrum of T . Mathematics Subject Classification (2000). Primary 47A10, 47A53; Secondary 47B20. 

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