The union of a Riesz set and a Lust-Piquard set is a Riesz set |
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| Authors: | Pascal Lefèvre Luis Rodríguez-Piazza |
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| Institution: | a Faculté Jean Perrin, Université d’Artois, rue Jean Souvraz S.P. 18, 62307 Lens cedex, France
b Faculdad de Matematica, Universidad de Sevilla, Apdo 1160, 41080 Sevilla, Spain |
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| Abstract: | We prove that the union of a Riesz set and a Lust-Piquard set is a Riesz set. This gives as corollaries known results of Y. Katznelson, R.E. Dressler-L. Pigno, and D. Li. Moreover, we give an example of a Rosenthal set which is dense in Z for the Bohr topology. |
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| Keywords: | 42A55 43A46 43A77 |
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