A NON-UNICELLULAR OPERATOR

  • Published : 2000.08.01

Abstract

In this paper, we want to give an operator which is not unicellular. We try to prove the non-unicellularity of the operator by using the method given in [8].

Keywords

References

  1. The Theory of Partitions v.2 Encyclopedia of Mathematics and its Applications G.E.Andrews
  2. Topics in operator theory R.Beals
  3. A course in functional analysis J.B.Conway
  4. Subnormal Operators
  5. Basic operator theory I.Gohberg;S.Goldberg
  6. A Hilbert space problem book(second edition) P.R.Halmose
  7. J.Austral.Math.Soc. v.12 On the unicellularity of weighted shifts K.J.Harrison
  8. Houston J.of Math. v.19 no.1 On the unicellularity of triangular operators J.H.Kang
  9. Invariant subspaces H.Rajavi;P.Rosenthal
  10. Topics in Operator Theory Weighted shift operator and analytic function theory, A.M.S. A.L.Shields
  11. Funtional analysis I M.Reed;B.Simon
  12. Linear operators in Hilbert spaces J.Weidman
  13. Banach Algebras and several complex variables J.Wermer