Some new properties of composition operators associated with lens maps

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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https://hal-univ-artois.archives-ouvertes.fr/hal-00656038
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Submitted on : Tuesday, January 3, 2012 - 2:32:50 PM
Last modification on : Thursday, September 27, 2018 - 2:58:02 PM
Long-term archiving on : Wednesday, April 4, 2012 - 2:45:14 AM

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  • HAL Id : hal-00656038, version 1
  • ARXIV : 1201.0636

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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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