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arXiv · 1410.7242

Operators approximable by hypercyclic operators

James Boland
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Abstract

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.

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James Boland. 2014-10-27. Operators approximable by hypercyclic operators. https://arxiv.org/abs/1410.7242

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