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We study the dynamics induced by an $m$-linear operator. We answer a question of Bes and Conejero showing an example of an $m$-linear hypercyclic operator acting on a Banach space.… Click to show full abstract
We study the dynamics induced by an $m$-linear operator. We answer a question of Bes 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 Frechet spaces. We also prove an existence result about symmetric bihypercyclic bilinear operators, answering a question by Grosse-Erdman and Kim.
Keywords:
banach spaces;
hypercyclic bilinear;
bilinear operators;
operators banach
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
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recommendations!