James Boland
Published 2014-10-27Version 1
We show that operators on a separable infinite dimensional Banach space $X$ of the form $I +S$, where $S$ is an operator with dense generalised kernel, must lie in the norm closure of the hypercyclic operators on $X$, in fact in the closure of the mixing operators.
Relationships between Cyclic and Hypercyclic Operators
Ideal of hypercyclic operators that factor through $\ell^p$
$ε$-hypercyclic operators that are not $δ$-hypercyclic for $δ$ < $ε$
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