Measures and lacunary sets

Volume 133 / 1999

Pascal Lefèvre Studia Mathematica 133 (1999), 145-161 DOI: 10.4064/sm-133-2-145-161

Abstract

We establish new connections between some classes of lacunary sets. The main tool is the use of (p,q)-summing or weakly compact operators (for Riesz sets). This point of view provides new properties of stationary sets and allows us to generalize to more general abelian groups than the torus some properties of p-Sidon sets. We also construct some new classes of Riesz sets.

Authors

  • Pascal Lefèvre

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