Dynamics of multidimensional Cesàro operators

Authors

J. Alberto Conejero, Universitat Politècnica de València
A. Mundayadan, Indian Statistical Institute Bangalore
J. B. Seoane-Sepúlveda, Universidad Complutense de Madrid

Article Type

Research Article

Publication Title

Bulletin of the Belgian Mathematical Society - Simon Stevin

Abstract

We study the dynamics of themulti-dimensional Cesàro integral operator on Lp(In), for I the unit interval, 1 < p < ∞, and n ≥ 2, that is defined as (Formula Presented) This operator is already known to be bounded. As a consequence of the Eigenvalue Criterion, we show that it is hypercyclic as well. Moreover, we also prove that it is Devaney chaotic and frequently hypercyclic.

First Page

11

Last Page

20

DOI

10.36045/bbms/1553047226

Publication Date

1-1-2019

Comments

Open Access, Green

Recommended Citation

Conejero, J. Alberto; Mundayadan, A.; and Seoane-Sepúlveda, J. B., "Dynamics of multidimensional Cesàro operators" (2019). Journal Articles. 1026.
https://digitalcommons.isical.ac.in/journal-articles/1026