b-property of sublattices in vector lattices

DOI10.3906/MAT-2102-114zbMath1504.46005arXiv2102.13486OpenAlexW3189729562MaRDI QIDQ5101823

Safak Alpay, S. G. Gorokhova

Publication date: 30 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.13486

zbMATH Keywords

Dedekind completionvector latticeuniversal completion\textit{b}-propertylocal solid vector lattice

Mathematics Subject Classification ID

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

Related Items (2)

A GENERALIZATION OF ORDER CONVERGENCE IN THE VECTOR LATTICES ⋮ \(o\tau \)-continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces

Cites Work

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• Characterizations of Riesz spaces with \(b\)-property
• Banach lattices
• On property (b) of vector lattices
• Bibounded \(uo\)-convergence and \(b\)-property in vector lattices
• Uo-convergence and its applications to Cesàro means in Banach lattices
• Completeness type properties of locally solid Riesz spaces
• A note on Riesz spaces with property-b
• On boundedly order-complete locally solid Riesz spaces

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