Bergelson's theorem for weakly mixing C*-dynamical systems

• Autorzy: Rocco Duvenhage
• Języki publikacji: EN

Abstrakty

EN

We study a nonconventional ergodic average for asymptotically abelian weakly mixing C*-dynamical systems, related to a second iteration of Khinchin's recurrence theorem obtained by Bergelson in the measure-theoretic case. A noncommutative recurrence theorem for such systems is obtained as a corollary.

Kategorie tematyczne

• 46L55: Noncommutative dynamical systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 192
• Numer: 3
• Strony: 235-257

Daty

wydano

2009

Twórcy

autor

Rocco Duvenhage

• Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa
• Department of Physics, University of Pretoria, Pretoria 0002, South Africa

Identyfikatory

DOI

10.4064/sm192-3-3