TY - JOUR
T1 - Linear Dynamics Induced by Odometers
AU - Bongiorno, Donatella
AU - Di Piazza, Luisa
AU - D'Aniello, Emma
PY - 2020
Y1 - 2020
N2 - Weighted shifts are an important concrete class of operators inlinear dynamics. In particular, they are an essential tool in distinguishing avariety dynamical properties. Recently, a systematic study of dynamical properties of composition operators on Lp spaces has been initiated. This classof operators includes weighted shifts and also allows flexibility in constructionof other concrete examples. In this article, we study one such concrete classof operators, namely composition operators induced by measures on odometers. In particular, we study measures on odometers which induce mixing andtransitive linear operators on Lp spaces
AB - Weighted shifts are an important concrete class of operators inlinear dynamics. In particular, they are an essential tool in distinguishing avariety dynamical properties. Recently, a systematic study of dynamical properties of composition operators on Lp spaces has been initiated. This classof operators includes weighted shifts and also allows flexibility in constructionof other concrete examples. In this article, we study one such concrete classof operators, namely composition operators induced by measures on odometers. In particular, we study measures on odometers which induce mixing andtransitive linear operators on Lp spaces
UR - http://hdl.handle.net/10447/434307
M3 - Article
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
ER -