Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지

WEYL'S THEOREM FOR ISOLOID AND REGULOID OPERATORS

  • Kim, An-Hyun (Department of Mathematics Changwon National University) ;
  • Yoo, Sung-Uk (Department of Mathematics Changwon National University)
  • Published : 1999.01.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper we find some classes of operators for which Weyl`s theorem holds. The main result is as follows. If T$\in$L(\ulcorner) satisfies the following: (ⅰ) Either T or T\ulcorner is reduced by each of its eigenspaces; (ⅱ) Weyl`s theorem holds for T; (ⅲ) T is isoloid, then for every polynomial p, Weyl`s theorem holds for p(T).

Keywords

References

  1. Proc. Amer. Math. Soc. v.34 On the Weyl spectrum of a Hilbert space operator J. Baxley
  2. Michigan Math. J. v.16 An extension of Weyl's theorem to a class of not necessarily normal operators S.K. Berberian
  3. Indiana Univ. Math. J. v.20 The Weyl's spectrum of anl operators S.K. Berberian
  4. Michigan Math. J. v.13 Weyl's theorem for nonnormal operators L.A. Coburn
  5. Proc. Amer. Math. Sco. v.25 The structure and asymptotic behaviour of polynomially compact operators F. Gilfeather
  6. Proc. Royal Irish Acad v.85A no.2 Fredholm, Weyl and Browder theory R.E. harte
  7. Invertibility and singularity for bounded linear operators R.E. Harte
  8. J. Operator Theory v.30 The punctured nieghbourhood theorem for incomplete spaces R.E. Harte;W. Y. Lee
  9. Trans. Amer. Math. Soc. v.349 Another note on Weyl's theorem R.E. Harte
  10. Rev. Roum. Math. Pures Appl. v.13 Weyl's theorem for a class of operators V. Istratescu
  11. Math. Japon. v.39 On Weyl's theorem W.Y. Lee;H.Y. Lee
  12. Glasgow Math. J. v.38 A spectral mapping theorem for the Weyl spectrum W.Y. Lee;S.H. Lee
  13. Illinois J. Math. v.18 On the Weyl spectrum K.K. Oberai
  14. Illinois J. Math. v.21 On the Weyl spectrum(Ⅱ) K.K. Oberai
  15. Amer. J. Math. v.93 A structure theorem for polynomially compact operators C.L. Olsen
  16. Indian Acad. Sci.(Math. Sci.) v.91 Weyl's theorem and thin spectra S. Prasanna
  17. Rend. Circ. Mat. Palermo v.27 Uber beschrankte quadratische Formen, dern Differenz vollsteig ist H. Weyl