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ON THE HEREDITARILY HYPERCYCLIC OPERATORS
Yousefi, Bahman,Farrokhinia, Ali Korean Mathematical Society 2006 대한수학회지 Vol.43 No.6
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.
On the hereditarily hypercyclic operators
Bahman Yousefi,Ali Farrokhinia 대한수학회 2006 대한수학회지 Vol.43 No.6
LetX be a separable Banach space. We give sucientconditions under which T : X ! X is hereditarily hypercyclic.Also, we prove that hereditarily hypercyclicity with respect to aspecial sequence implies the hereditarily hypercyclicity with respectto the entire sequence.