Linear Sequences and Weighted Ergodic Theorems
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....
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/815726 |
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| _version_ | 1832560580148330496 |
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| author | Tanja Eisner |
| author_facet | Tanja Eisner |
| author_sort | Tanja Eisner |
| collection | DOAJ |
| description | 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 for a measure preserving system and , avoiding in the latter case the problem of finding the full measure set of appropriate points . |
| format | Article |
| id | doaj-art-1780185982df4e02ab08ad93b8a0ad82 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1780185982df4e02ab08ad93b8a0ad822025-02-03T01:27:10ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/815726815726Linear Sequences and Weighted Ergodic TheoremsTanja Eisner0Korteweg-de Vries Institute for Mathematics, University of Amsterdam, P.O. Box 94248, 1090 GE Amsterdam, The NetherlandsWe 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 for a measure preserving system and , avoiding in the latter case the problem of finding the full measure set of appropriate points .http://dx.doi.org/10.1155/2013/815726 |
| spellingShingle | Tanja Eisner Linear Sequences and Weighted Ergodic Theorems Abstract and Applied Analysis |
| title | Linear Sequences and Weighted Ergodic Theorems |
| title_full | Linear Sequences and Weighted Ergodic Theorems |
| title_fullStr | Linear Sequences and Weighted Ergodic Theorems |
| title_full_unstemmed | Linear Sequences and Weighted Ergodic Theorems |
| title_short | Linear Sequences and Weighted Ergodic Theorems |
| title_sort | linear sequences and weighted ergodic theorems |
| url | http://dx.doi.org/10.1155/2013/815726 |
| work_keys_str_mv | AT tanjaeisner linearsequencesandweightedergodictheorems |