Hypercyclic bilinear operators on Banach spaces
Autor: | Cardeccia, Rodrigo |
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Rok vydání: | 2019 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. |
Databáze: | arXiv |
Externí odkaz: |
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