Order and uo-convergence in spaces of continuous functions

DOI10.1016/J.TOPOL.2022.107999zbMath1492.46016arXiv2110.08709OpenAlexW4205257650MaRDI QIDQ2074379

Eugene Bilokopytov, Vladimir G. Troitsky

Publication date: 9 February 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.08709

zbMATH Keywords

Banach latticecontinuous functionsvector latticeorder convergence

Mathematics Subject Classification ID

Banach lattices (46B42) Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

Locally solid convergences and order continuity of positive operators ⋮ Discrete stopping times in the lattice of continuous functions

Cites Work

• Convergence of sequences of semi-continuous functions
• The universal completion of \(C(X)\) and unbounded order convergence
• Topological aspects of order in \(C(X)\)
• Order convergence and topological completion of commutative lattice-groups
• Uo-convergence and its applications to Cesàro means in Banach lattices
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