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Linear Sequences and Weighted Ergodic Theorems
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-16
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Eisner, Tanja. 2013. Linear Sequences and Weighted Ergodic Theorems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-500332
Modern Language Association (MLA)
Eisner, Tanja. Linear Sequences and Weighted Ergodic Theorems. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-500332
American Medical Association (AMA)
Eisner, Tanja. Linear Sequences and Weighted Ergodic Theorems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-500332
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500332