The essential norm of multiplication operators acting on Orlicz sequence spaces
Abstract We calculate the measure of non-compactness or the essential norm of the multiplication operator M u acting on Orlicz sequence spaces l ϕ . As a consequence of our result, we obtain a known criteria for the compactness of multiplication operator acting on l ϕ .
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| Autores principales: | , |
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2020
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601407 |
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| Sumario: | Abstract We calculate the measure of non-compactness or the essential norm of the multiplication operator M u acting on Orlicz sequence spaces l ϕ . As a consequence of our result, we obtain a known criteria for the compactness of multiplication operator acting on l ϕ . |
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