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A remark about $\Lambda (p)$-sets and Rosenthal sets

Author(s): Daniel Li
Journal: Proc. Amer. Math. Soc. 126 (1998), 3329-3333.
MSC (1991): Primary 43A46
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Abstract: There exist $\Lambda (p)$-sets which are not Rosenthal sets.

Résumé. Il existe des ensembles $\Lambda (p)$ qui ne sont pas des ensembles de Rosenthal.


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Additional Information:

Daniel Li
Affiliation: Analyse Harmonique, Université Paris-Sud, Mathématiques, Bâtiment 425, 91405 Orsay, France - Equipe d'Analyse, Université Paris VI, 4 Place Jussieu, Boîte 186, 75252 Paris cedex 05, France
Address at time of publication: Université d'Artois, Faculté Jean Perrin, rue Jean Souvraz, SP 18, 62307 Lens Cedex, France
Email: daniel.li@math.u-psud.fr, li@poincare.univ-artois.fr

DOI: 10.1090/S0002-9939-98-04455-4
PII: S 0002-9939(98)04455-4
Keywords: $\Lambda (p)$-set, Rosenthal set, homogeneously distributed sequence
Received by editor(s): January 20, 1997
Received by editor(s) in revised form: April 1, 1997
Communicated by: J. Marshall Ash
Copyright of article: Copyright 1998, American Mathematical Society


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Neuwirth, S., Two random constructions inside lacunary sets, Ann. Inst. Fourier (Grenoble) 49 (1999), 1853-1867. (english)


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