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## Some new properties of composition operators associated with lens maps

Pascal Lefèvre
Daniel Li

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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.

#### Domains

Mathematics [math] Functional Analysis [math.FA]

### Dates and versions

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

### Identifiers

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

### Cite

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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