Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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Spectral mapping theorem and Weyl's theorem

  • Yang, Young-Oh (Department of Mathematics, Cheju National University) ;
  • Lee, Jin-A (Department of Mathematics, Cheju National University)
  • Published : 1996.07.01
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Abstract

In this paper we give some conditions under which the Weyl spectrum of an operator satisfies the spectral mapping theorem for analytic functions. Also we show that Weyl's theorem holds for p(T) where T is an operator of M-power class (N) and p is a polynomial on a neighborhood of $\sigam(T)$. Finally we answer an old question of Oberai.

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