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Some new properties of composition operators associated with lens maps |
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| Authors: | Pascal Lefèvre Daniel Li Hervé Queffélec Luis Rodríguez-Piazza |
| Institution: | 1. U-Artois, Laboratoire de Mathématiques de Lens EA 2462 Fédération CNRS Nord-Pas-de-Calais FR 2956, Faculté des Sciences Jean Perrin, Univ Lille Nord de France, Rue Jean Souvraz, S.P. 18, F-62 300, Lens, France 2. USTL, Laboratoire Paul Painlevé U.M.R. CNRS 8524 Fédération CNRS Nord-Pas-de-Calais FR 2956, Univ Lille Nord de France, F-59 655, Villeneuve d’Ascq Cedex, France 3. Facultad de Matemáticas Departamento de Análisis Matemático & IMUS, Universidad de Sevilla, Apartado de Correos 1160, 41 080, Sevilla, Spain |
| 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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