Uniform Convergence of Cesaro Averages for Uniquely Ergodic C*-Dynamical Systems
Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133 Roma, Italy
Received: 20 November 2018 / Revised: 9 December 2018 / Accepted: 11 December 2018 / Published: 19 December 2018
Consider a uniquely ergodic
-dynamical system based on a unital *-endomorphism
-algebra. We prove the uniform convergence of Cesaro averages
for all values
in the unit circle, which are not eigenvalues corresponding to “measurable non-continuous” eigenfunctions. This result generalizes an analogous one, known in commutative ergodic theory, which turns out to be a combination of the Wiener–Wintner theorem and the uniformly convergent ergodic theorem of Krylov and Bogolioubov.
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MDPI and ACS Style
Fidaleo, F. Uniform Convergence of Cesaro Averages for Uniquely Ergodic C*-Dynamical Systems. Entropy 2018, 20, 987.
Fidaleo F. Uniform Convergence of Cesaro Averages for Uniquely Ergodic C*-Dynamical Systems. Entropy. 2018; 20(12):987.
Fidaleo, Francesco. 2018. "Uniform Convergence of Cesaro Averages for Uniquely Ergodic C*-Dynamical Systems." Entropy 20, no. 12: 987.
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