Embedded unbounded order convergent sequences in topologically convergent nets in vector lattices

DOI10.1007/S43037-024-00329-XarXiv2309.03027OpenAlexW4392692560MaRDI QIDQ6204595

M. F. E. de Jeu, Yang Deng

Publication date: 28 March 2024

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.03027

zbMATH Keywords

Banach latticeunbounded order convergencelocally solid vector latticeembedded sequencesubmetrisable topologytopologically convergent net

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Ordered topological linear spaces, vector lattices (46A40)

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