Some new properties of composition operators associated with lens maps - Université d'Artois Access content directly
Preprints, Working Papers, ... Year : 2012

Some new properties of composition operators associated with lens maps

Pascal Lefèvre
Hervé Queffélec
  • Function : Author
  • PersonId : 916881
Luis Rodriguez-Piazza
  • Function : Author
  • PersonId : 859619

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.
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Dates and versions

hal-00656038 , version 1 (03-01-2012)

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Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza. Some new properties of composition operators associated with lens maps. 2012. ⟨hal-00656038⟩
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