convergence in locally solid vector lattices
| Autor: | Dabboorasad, Yousef A.m., Emelyanov, E YU, Marabeh, Maa |
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| Rok vydání: | 2018 |
| DOI: | 10.1007/s11117-018-0559-4 |
| Popis: | Let be a net in a locally solid vector lattice; we say that is unbounded-convergent to a vector if\(| x_\alpha-x|\wedge w\xrightarrow {\tau} 0\) for all. In this paper, we study general properties of unbounded-convergence (shortly-convergence).-convergence generalizes unbounded norm convergence and unbounded absolute weak convergence in normed lattices that have been investigated recently. We introduce-topology and briefly study metrizability and completeness of this topology. |
| Databáze: | OpenAIRE |
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