Net convergence structures with applications to vector lattices

DOI10.2989/16073606.2021.2012721zbMath1521.54001arXiv2103.01339OpenAlexW3133713383MaRDI QIDQ6039051

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Publication date: 3 May 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.01339

zbMATH Keywords

vector latticesconvergence structuresnets and filters

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) 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) Convergence and divergence of infinite limiting processes (40A99)

Related Items (3)

Convergence structures and Hausdorff uo-Lebesgue topologies on vector lattice algebras of operators ⋮ Locally solid convergences and order continuity of positive operators ⋮ The sup-completion of a Dedekind complete vector lattice

Cites Work

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• Continuous Dependence of Solutions of Operator Equations. I
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• A closed graph theorem for order bounded operators

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