Abstract
We prove that unique ergodicity of tensor product of a C *-dynamical system implies its strictly weak mixing. By means of this result a uniform weighted ergodic theorem with respect to S -Besicovitch sequences for strictly weak mixing dynamical systems is proved. Moreover, we provide certain examples of strictly weak mixing dynamical systems.
| Original language | English |
|---|---|
| Pages (from-to) | 155-174 |
| Number of pages | 20 |
| Journal | Studia Scientiarum Mathematicarum Hungarica |
| Volume | 47 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jun 1 2010 |
| Externally published | Yes |
Keywords
- -dynamical system
- 28D05
- 46L51
- 46L55
- 60J99
- C
- Primary 46L35
- S -Besicovitch sequence
- Strict weak mixing
- Unique ergodicity
ASJC Scopus subject areas
- General Mathematics
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