Abstract : We give examples of results on composition operators connected with lens maps. The first two concern the approximation numbers of those operators acting on the usual Hardy space $H^2$. The last ones are connected with Hardy-Orlicz and Bergman-Orlicz spaces $H^\psi$ and $B^\psi$, and provide a negative answer to the question of knowing if all composition operators which are weakly compact on a non-reflexive space are norm-compact.
https://hal-univ-artois.archives-ouvertes.fr/hal-00656038
Contributeur : Daniel Li
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Soumis le : mardi 3 janvier 2012 - 14:32:50
Dernière modification le : mardi 3 juillet 2018 - 11:43:43
Document(s) archivé(s) le : mercredi 4 avril 2012 - 02:45:14
Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza. Some new properties of composition operators associated with lens maps. 21 pages A paraître dans Israel Journal of Mathematics. 2012. 〈hal-00656038〉
