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Artículo
A criterion of weak compactness for operators on subspaces of Orlicz spaces
(Hindawi, 2008)
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∞.
Artículo
On some random thin sets of integers
(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 ...
Artículo
Some translation-invariant Banach function spaces which contain C0
(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.
Artículo
Some new thin sets of integers in harmonic analysis
(Springer, 2002-12)
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 ...
Artículo
Weak compactness and Orlicz spaces
(Polish Academy of Sciences (Institute of Mathematics), 2008)
We give new proofs that some Banach spaces have Peczynski's property (V)
Artículo
Some examples of compact composition operators on H2
(Elsevier, 2008-12-01)
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 ...