Two random constructions inside lacunary sets
type: Item
instance of: scholarly article
title: Two random constructions inside lacunary sets
zbMATH Open document ID: 0955.42009
author: Stefan Neuwirth
publication date: 1999-11-24T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75404
review text: 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.
Mathematics Subject Classification ID: 42A55
Mathematics Subject Classification ID: 11K31
Mathematics Subject Classification ID: 43A46
zbMATH DE Number: 1368751
zbMATH Keywords: \(\Lambda (p)\)-set
zbMATH Keywords: Rosenthal set
zbMATH Keywords: equidistributed set of integers
zbMATH Keywords: uniformly distributed set of integers
reviewed by: S. V. Kislyakov
MaRDI profile type: Publication
OpenAlex ID: W2331885286
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DOI: 10.5802/AIF.1740
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published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 1368751