Dynamics of multivalued linear operators

Chung-Chuan Chen, et al. "Dynamics of multivalued linear operators." Open Mathematics 15.1 (2017): 948-958. <http://eudml.org/doc/288383>.

@article{Chung2017,
abstract = {We introduce several notions of linear dynamics for multivalued linear operators (MLO’s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos. We also consider the case of disjointness, in which any of these properties are simultaneously satisfied by several operators. We revisit some sufficient well-known computable criteria for determining those properties. The analysis of the dynamics of extensions of linear operators to MLO’s is also considered.},
author = {Chung-Chuan Chen, J. Alberto Conejero, Marko Kostić, Marina Murillo-Arcila},
journal = {Open Mathematics},
keywords = {Hypercyclicity; Topological transitivity; Topologically mixing property; Devaney chaos; Multivalued linear operators},
language = {eng},
number = {1},
pages = {948-958},
title = {Dynamics of multivalued linear operators},
url = {http://eudml.org/doc/288383},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Chung-Chuan Chen
AU - J. Alberto Conejero
AU - Marko Kostić
AU - Marina Murillo-Arcila
TI - Dynamics of multivalued linear operators
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 948
EP - 958
AB - We introduce several notions of linear dynamics for multivalued linear operators (MLO’s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos. We also consider the case of disjointness, in which any of these properties are simultaneously satisfied by several operators. We revisit some sufficient well-known computable criteria for determining those properties. The analysis of the dynamics of extensions of linear operators to MLO’s is also considered.
LA - eng
KW - Hypercyclicity; Topological transitivity; Topologically mixing property; Devaney chaos; Multivalued linear operators
UR - http://eudml.org/doc/288383
ER -