Some properties of weak Banach-Saks operators
We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, {\rm L}-weakly compact; respectively, {\rm M}-weakly compact). As consequences, we give some interesting characterizations of order continuous norm (respectively, reflexive Banac...
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| Autores principales: | , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
Institute of Mathematics of the Czech Academy of Science
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/19fee654a5814238967e457742827f9b |
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| Sumario: | We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, {\rm L}-weakly compact; respectively, {\rm M}-weakly compact). As consequences, we give some interesting characterizations of order continuous norm (respectively, reflexive Banach lattice). |
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