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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.05419 |
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Table of Contents:
- Let $ν$ be a countably additive vector measure defined on a $σ$-algebra and taking values in a Banach space. In this paper we deal with the following three properties for the Banach lattice $L_1(ν)$ of all $ν$-integrable real-valued functions: the Dunford-Pettis property, the positive Schur property and being lattice-isomorphic to an AL-space. We give new results and we also provide alternative proofs of some already known ones.