Academic Journal
Applications for Unbounded Convergences in Banach Lattices
| العنوان: | Applications for Unbounded Convergences in Banach Lattices |
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| المؤلفون: | Zhangjun Wang, Zili Chen |
| المصدر: | Fractal and Fractional, Vol 6, Iss 4, p 199 (2022) |
| بيانات النشر: | MDPI AG, 2022. |
| سنة النشر: | 2022 |
| المجموعة: | LCC:Thermodynamics LCC:Mathematics LCC:Analysis |
| مصطلحات موضوعية: | Banach lattice, unbounded convergence, L-weakly compact operator, M-weakly compact operator, statistical unbounded convergence, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433 |
| الوصف: | Several recent papers investigated unbounded convergences in Banach lattices. The focus of this paper is to apply the results of unbounded convergence to the classical Banach lattice theory from a new perspective. Combining all unbounded convergences, including unbounded order (norm, absolute weak, absolute weak*) convergence, we characterize L-weakly compact sets, L-weakly compact operators and M-weakly compact operators on Banach lattices. For applications, we introduce so-called statistical-unbounded convergence and use these convergences to describe KB-spaces and reflexive Banach lattices. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2504-3110 |
| Relation: | https://www.mdpi.com/2504-3110/6/4/199; https://doaj.org/toc/2504-3110 |
| DOI: | 10.3390/fractalfract6040199 |
| URL الوصول: | https://doaj.org/article/2faf1eb0936647c5a7625dcc6ea41b0d |
| رقم الانضمام: | edsdoj.2faf1eb0936647c5a7625dcc6ea41b0d |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 25043110 |
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| DOI: | 10.3390/fractalfract6040199 |