Two random constructions inside lacunary sets (Q1807906)
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scientific article; zbMATH DE number 1368751
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two random constructions inside lacunary sets |
scientific article; zbMATH DE number 1368751 |
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Two random constructions inside lacunary sets (English)
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24 November 1999
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The main result says that every polynomial sequence of integers or the sequence of primes contain a subsequence \(E\) that is a \(\Lambda (p)\)-set for all \(p<\infty\) but not a Rosenthal set (i.e., not all \(L^\infty\)-functions with spectrum in \(E\) are continuous). The proof is done by random choice.
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\(\Lambda (p)\)-set
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Rosenthal set
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equidistributed set of integers
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uniformly distributed set of integers
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0.88269705
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0.8769955
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0.8649813
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0.86451787
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0.8552476
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