The order-type Banach-Saks properties
| Autor: | Tantrawan, Made, Leung, Denny H., Gao, Niushan |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | The study of the Banach-Saks property in Banach spaces has a long and illustrious history. Of late, motivated by applications in financial mathematics, interest has arisen in the Banach-Saks type properties with respect to order convergence. This paper presents a study of order Banach-Saks properties in Banach function spaces, and in particular in rearrangement invariant spaces. Among the results obtained, we provide some sufficient conditions for the (weak) order Banach-Saks property. We also characterize the (weak) order Banach-Saks property in Orlicz spaces. It is also shown that the (weak) order Banach-Saks property is equivalent to its hereditary version. Comment: 19 pages |
| Databáze: | arXiv |
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