Bibounded \(uo\)-convergence and \(b\)-property in vector lattices

DOI10.1007/S11117-021-00840-7zbMath1489.46006arXiv2009.07401OpenAlexW3172243184MaRDI QIDQ2056227

Safak Alpay, S. G. Gorokhova, Eduard Yu. Emel'yanov

Publication date: 2 December 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.07401

zbMATH Keywords

Banach latticevector latticeorder dual\(b\)-propertyunbounded order convergenceregular Riesz dual system

Mathematics Subject Classification ID

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

Related Items (4)

On unbounded order continuous operators ⋮ \(o\tau \)-continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces ⋮ b-property of sublattices in vector lattices ⋮ Relative uniform convergence in vector lattices: odds and ends

Cites Work

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• Intrinsic characterization of the space \(c_0(A)\) in the class of Banach lattices
• On property (b) of vector lattices
• Duality for unbounded order convergence and applications
• On closedness of law-invariant convex sets in rearrangement invariant spaces
• Unbounded order convergence and application to martingales without probability
• Uo-convergence and its applications to Cesàro means in Banach lattices
• A note on Riesz spaces with property-b
• Order convergence is not topological in infinite-dimensional vector lattices

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