Mean Ergodic Theorems for Multipliers on Banach Algebras
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-017-9587-x
Abstract: Let A be a complex commutative semisimple Banach algebra. In this paper, we study some ergodic properties of Cesàro bounded multipliers on A. The results are linked to the sets of synthesis and the main… read more here.
Keywords: theorems multipliers; multipliers banach; banach algebras; mean ergodic ... See more keywords
A new mean ergodic theorem for tori and recurrences
Sign Up to like & getrecommendations! Published in 2021 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2019.70
Abstract: Let $X$ be a finite-dimensional connected compact abelian group equipped with the normalized Haar measure $\unicode[STIX]{x1D707}$ . We obtain the following mean ergodic theorem over ‘thin’ phase sets. Fix $k\geq 1$ and, for every $n\geq… read more here.
Keywords: stix; ergodic theorem; mean ergodic; unicode stix ... See more keywords