Weighted shifts are an important concrete class of operators in linear dynamics. In particular, they are an essential tool in distinguishing a variety dynamical properties. Recently, a systematic study of dynamical properties of composition operators on Lp spaces has been initiated. This class of operators includes weighted shifts and also allows flexibility in construction of other concrete examples. In this article, we study one such concrete class of operators, namely composition operators induced by measures on odometers. In particular, we study measures on odometers which induce mixing and transitive linear operators on Lp spaces

Donatella Bongiorno, Emma D'Aniello, U.B. Darji, Luisa Di Piazza (2020). Linear Dynamics Induced by Odometers. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY.

Linear Dynamics Induced by Odometers

Donatella Bongiorno;Emma D'Aniello;Luisa Di Piazza
2020

Abstract

Weighted shifts are an important concrete class of operators in linear dynamics. In particular, they are an essential tool in distinguishing a variety dynamical properties. Recently, a systematic study of dynamical properties of composition operators on Lp spaces has been initiated. This class of operators includes weighted shifts and also allows flexibility in construction of other concrete examples. In this article, we study one such concrete class of operators, namely composition operators induced by measures on odometers. In particular, we study measures on odometers which induce mixing and transitive linear operators on Lp spaces
Settore MAT/05 - Analisi Matematica
Donatella Bongiorno, Emma D'Aniello, U.B. Darji, Luisa Di Piazza (2020). Linear Dynamics Induced by Odometers. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/434307
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