Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON THE CYCLICTY OF ADJOINTS OF WEIGHTED SHIFTS

  • YOUSEFI, B. (Department of Mathematics, College of Sciences Shiraz University) ;
  • TAGHAVI, M. (Department of Mathematics, College of Sciences Shiraz University)
  • Received : 2004.02.16
  • Published : 2004.06.25
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Abstract

We provide some sufficient conditions for the adjoint of a unilateral weighted shift operator on a Hilbert space to be cyclic.

Keywords

Acknowledgement

Supported by : Shiraz University

References

  1. Math. Surveys, A.M.S. Providence v.13 Weighted shift operators and analytic function theory Shields, A.L.
  2. J. Austral. Math. Soc. v.13 Invariant subspaces lattices of Lambert's weighted shifts Yadav, B.S.;Chatterjee, S.
  3. Iranian Journal of Sciences & Technology, Transaction A v.23 On the unicellularity of weighted shifts Yousefi, B.
  4. Korean Annals of Mathematics v.20 On the cyclicity of weighted shifts Yousefi, B.