 |
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.
Cited literature [24 references]
https://hal-univ-artois.archives-ouvertes.fr/hal-00656038
Contributor : Daniel Li Connect in order to contact the contributor
Submitted on : Tuesday, January 3, 2012 - 2:32:50 PM
Last modification on : Tuesday, December 6, 2022 - 12:42:11 PM
Long-term archiving on: : Wednesday, April 4, 2012 - 2:45:14 AM
Contributor : Daniel Li Connect in order to contact the contributor
Submitted on : Tuesday, January 3, 2012 - 2:32:50 PM
Last modification on : Tuesday, December 6, 2022 - 12:42:11 PM
Long-term archiving on: : Wednesday, April 4, 2012 - 2:45:14 AM
Files
Lens_maps.pdf
Files produced by the author(s)