Hereditarily Hypercyclic Operators
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Juan Bès; Alfredo Peris
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Article
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1999
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Elsevier Science
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English
β 151 KB
We show that a continuous linear operator T on a Fre chet space satisfies the so-called Hypercyclicity Criterion if and only if it is hereditarily hypercyclic, and if and only if the direct sum TΓ T is hypercyclic. In particular, hypercyclic operators with either a dense generalized kernel or a dens