Now showing items 1-6 of 6
Some examples of compact composition operators on H2 [Article]
We construct, in an essentially explicit way, various composition operators on H2 and study their compactness or their membership in the Schatten classes. We construct: non-compact composition operators on H2 whose symbols ...
Weak compactness and Orlicz spaces [Article]
(Polish Academy of Sciences (Institute of Mathematics), 2008)
We give new proofs that some Banach spaces have Peczynski's property (V)
Some new thin sets of integers in harmonic analysis [Article]
We randomly construct various subsets A of the integers which have both smallness and largeness properties. They are small since they are very close, in various senses, to Sidon sets: the continuous functions with spectrum ...
Some translation-invariant Banach function spaces which contain C0 [Article]
(Polish Academy of Sciences, Institute of Mathematics, 2004)
We produce several situations where some natural subspaces of classical Banach spaces of functions over a compact abelian group contain the space c0.
On some random thin sets of integers [Article]
(American Mathematical Society, 2008-01)
We show how different random thin sets of integers may have different behaviour. First, using a recent deviation inequality of Boucheron, Lugosi and Massart, we give a simpler proof of one of our results in Some new thin ...
A criterion of weak compactness for operators on subspaces of Orlicz spaces [Article]
We give a criterion of weak compactness for the operators on the Morse-Transue space MΨ , the subspace of the Orlicz space LΨ generated by L∞.