|
|||||
|
|
Composition operators on Banach function spaces |
|
| Authors: | Rajeev Kumar Romesh Kumar |
| Affiliation: | Department of Mathematics, University of Jammu, Jammu-180 006, India ; Department of Mathematics, University of Jammu, Jammu-180 006, India |
| Abstract: | We study the boundedness and the compactness of composition operators on some Banach function spaces such as absolutely continuous Banach function spaces on a  -finite measure space, Lorentz function spaces on a  -finite measure space and rearrangement invariant spaces on a resonant measure space. In addition, we study some properties of the spectra of a composition operator on the general Banach function spaces. |
| Keywords: | Banach function spaces compact operators composition operators Lorentz spaces measurable transformation rearrangement invariant spaces |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |