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arXiv · 1905.12057

Hypercyclic bilinear operators on Banach spaces

Rodrigo Cardeccia
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Abstract

We study the dynamics induced by an $m$-linear operator. We answer a question of B\`es and Conejero showing an example of an $m$-linear hypercyclic operator acting on a Banach space. Moreover we prove the existence of $m$-linear hypercyclic operators on arbitrary infinite dimensional separable Banach spaces. We also prove an existence result about symmetric bihypercyclic bilinear operators, answering a question by Grosse-Erdman and Kim.

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Rodrigo Cardeccia. 2019-05-28. Hypercyclic bilinear operators on Banach spaces. https://arxiv.org/abs/1905.12057

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