Embedded unbounded order convergent sequences in topologically convergent nets in vector lattices
| dc.contributor.author | Deng, Yang | |
| dc.contributor.author | De Jeu, Marcel | |
| dc.date.accessioned | 2024-09-19T06:29:37Z | |
| dc.date.issued | 2024-03 | |
| dc.description | DATA AVAILABILITY : Data sharing is not applicable to this paper as no datasets were generated or analysed during the current research. | en_US |
| dc.description.abstract | We show that, for a class of locally solid topologies on vector lattices, a topologically convergent net has an embedded sequence that is unbounded order convergent to the same limit. Our result implies, and often improves, many of the known results in this vein in the literature. A study of metrisability and submetrisability of locally solid topologies on vector lattices is included. | en_US |
| dc.description.department | Mathematics and Applied Mathematics | en_US |
| dc.description.embargo | 2025-03-12 | |
| dc.description.librarian | hj2024 | en_US |
| dc.description.sdg | None | en_US |
| dc.description.uri | https://www.springer.com/journal/43037 | en_US |
| dc.identifier.citation | Deng, Y., de Jeu, M. Embedded unbounded order convergent sequences in topologically convergent nets in vector lattices. Banach Journal of Mathematical Analysis 18, 22 (2024). https://doi.org/10.1007/s43037-024-00329-x. | en_US |
| dc.identifier.issn | 1735-8787 (online) | |
| dc.identifier.issn | 2662-2033 (print) | |
| dc.identifier.other | 10.1007/s43037-024-00329-x | |
| dc.identifier.uri | http://hdl.handle.net/2263/98308 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.rights | © Tusi Mathematical Research Group (TMRG) 2024. The original publication is available at : https://www.springer.com/journal/43037. [12 months embargo] | en_US |
| dc.subject | Locally solid vector lattice | en_US |
| dc.subject | Banach lattice | en_US |
| dc.subject | Submetrisable topology | en_US |
| dc.subject | Unbounded order convergence | en_US |
| dc.subject | Topologically convergent net | en_US |
| dc.subject | Embedded sequence | en_US |
| dc.title | Embedded unbounded order convergent sequences in topologically convergent nets in vector lattices | en_US |
| dc.type | Postprint Article | en_US |