Dynamics of multidimensional Cesàro operators
Bulletin of the Belgian Mathematical Society - Simon Stevin
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.
Conejero, J. Alberto; Mundayadan, A.; and Seoane-Sepúlveda, J. B., "Dynamics of multidimensional Cesàro operators" (2019). Journal Articles. 1026.