info:eu-repo/semantics/article
Hypercyclic bilinear operators on Banach spaces
Fecha
2020-05-01Registro en:
Cardeccia, Rodrigo Alejandro; Hypercyclic bilinear operators on Banach spaces; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 485; 1; 1-5-2020; 1-21
0022-247X
CONICET Digital
CONICET
Autor
Cardeccia, Rodrigo Alejandro
Resumen
We study the dynamics induced by an m-linear operator. We answer a question of Bès 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-Erdmann and Kim.