Title of article :
The union of a Riesz set and a Lust-Piquard set is a
Riesz set
Author/Authors :
Pascal Lefèvre، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
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.
© 2005 Elsevier Inc. All rights reserved
Keywords :
Bishop–Rudin–Carleson theorem , Ergodic sets , invariant means , Lust-Piquard sets , Riesz sets
Journal title :
Journal of Functional Analysis
Journal title :
Journal of Functional Analysis