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...

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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
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