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http://dx.doi.org/10.4134/JKMS.2006.43.6.1219

ON THE HEREDITARILY HYPERCYCLIC OPERATORS  

Yousefi, Bahman (Department of Mathematics College of Science Shiraz University)
Farrokhinia, Ali (Department of Mathematics Tarbiat Modares University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.6, 2006 , pp. 1219-1229 More about this Journal
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.
Keywords
hereditarily hpercyclicity; hypercyclicity criterion;
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