Hypercyclic bilinear operators on Banach spaces

Autor:	Cardeccia, Rodrigo
Rok vydání:	2019
Předmět:	Mathematics - Functional Analysis Mathematics - Complex Variables Mathematics - Dynamical Systems
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:	http://arxiv.org/abs/1905.12057 Zobrazit plný text záznamu View this record from Arxiv