Linear Sequences and Weighted Ergodic Theorems

Tanja Eisner

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We present a simple way to produce good weights for several types of ergodic theorem including the Wiener‐Wintner type multiple return time theorem and the multiple polynomial ergodic theorem. These weights are deterministic and come from orbits of certain bounded linear operators on Banach spaces. This extends the known results for nilsequences and return time sequences of the form (g(Sny)) for a measure preserving system (Y, S) and g ∈ L∞(Y), avoiding in the latter case the problem of finding the full measure set of appropriate points y.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/815726

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:815726

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().