On some measures of non-compactness associated to Banach operator ideals
We study two variants of measures of non-compactness of operators associated to a Banach operator ideal in the sense of Pietsch. These measures are motivated by the notions of surjective-ideal-compactness and injective-ideal-compactness, defined respectively by Carl and Stephani and by Stephani. Int...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Burgos (UBU) |
| Repositorio: | Repositorio Institucional de la Universidad de Burgos (RIUBU) |
| OAI Identifier: | oai:riubu.ubu.es:10259/9753 |
| Acceso en línea: | http://hdl.handle.net/10259/9753 |
| Access Level: | acceso abierto |
| Palabra clave: | Banach operator ideal Measure of non-compactness Intermediate space Interpolation space p-compact operator Quasi p-nuclear operator Análisis matemático Mathematical analysis |
| Sumario: | We study two variants of measures of non-compactness of operators associated to a Banach operator ideal in the sense of Pietsch. These measures are motivated by the notions of surjective-ideal-compactness and injective-ideal-compactness, defined respectively by Carl and Stephani and by Stephani. Interpolation results on these measures in the cases of Banach couples generated by a single Banach space are given. As an application, we obtain interpolation theorems on p-compact operators and quasi p-nuclear operators. |
|---|