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arXiv · 1201.0636

Some new properties of composition operators associated with lens maps

Pascal Lefèvre·Daniel Li·Hervé Queffélec·Luis Rodriguez-Piazza
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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 $H^ψ$ and $B^ψ$, 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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Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza. 2012-01-03. Some new properties of composition operators associated with lens maps. https://arxiv.org/abs/1201.0636

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