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On some properties of the class of stationary sets

100%

Lefevre P.

Colloquium Mathematicum

1998

tom 76

nr 1

1-18

Some new properties of the stationary sets (defined by G. Pisier in [12]) are studied. Some arithmetical conditions are given, leading to the non-stationarity of the prime numbers. It is shown that any stationary set is a set of continuity. Some examples of "large" stationary sets are given, which are not sets of uniform convergence.

Measures and lacunary sets

100%

Lefèvre P.

Studia Mathematica

1999

tom 133

nr 2

145-161

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.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Studia Mathematica

1 Lefevre P.

1 Lefèvre P.

1 1999

1 1998

Wyniki wyszukiwania

On some properties of the class of stationary sets

Measures and lacunary sets