Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON THE HEREDITARILY HYPERCYCLIC OPERATORS

  • Yousefi, Bahman (Department of Mathematics College of Science Shiraz University) ;
  • Farrokhinia, Ali (Department of Mathematics Tarbiat Modares University)
  • Published : 2006.11.01
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Abstract

Let X be a separable Banach space. We give sufficient conditions under which $T:X{\rightarrow}X$ is hereditarily hypercyclic. Also, we prove that hereditarily hypercyclicity with respect to a special sequence implies the hereditarily hypercyclicity with respect to the entire sequence.

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References

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