Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range
We calculate the measure of non-compactness of the multiplication operator Mu acting on non-atomic Köthe spaces. We show that all bounded below multiplication operators acting on Köthe spaces are surjective and therefore bijective and we give some new characterizations about closedness of the range...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2019
- Institución:
- Universidad del Rosario
- Repositorio:
- Repositorio EdocUR - U. Rosario
- Idioma:
- eng
- OAI Identifier:
- oai:repository.urosario.edu.co:10336/23618
- Acceso en línea:
- https://doi.org/10.1007/s40840-017-0562-0
https://repository.urosario.edu.co/handle/10336/23618
- Palabra clave:
- Banach lattice
Köthe spaces
Multiplication operator
- Rights
- License
- Abierto (Texto Completo)
| Summary: | We calculate the measure of non-compactness of the multiplication operator Mu acting on non-atomic Köthe spaces. We show that all bounded below multiplication operators acting on Köthe spaces are surjective and therefore bijective and we give some new characterizations about closedness of the range of Mu acting on Köthe spaces. © 2017, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. |
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