The Banach-Saks property from a locally solid vector lattice point of view

DOI10.1007/S11117-021-00830-9zbMath1489.46008arXiv2010.13377OpenAlexW3157116911MaRDI QIDQ2055403

Omid Zabeti

Publication date: 1 December 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.13377

zbMATH Keywords

locally solid vector latticelocally solid Banach-Saks propertylocally solid disjoint Banach-Saks propertylocally solid strong unbounded Banach-Saks propertylocally solid unbounded Banach-Saks property

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

Тип теоремы Кренгеля для компактных операторов между локально плотными векторными решетками

Cites Work

• Unbounded norm topology in Banach lattices
• Unbounded norm convergence in Banach lattices
• Unbounded absolute weak convergence in Banach lattices
• \(um\)-topology in multi-normed vector lattices
• Uo-convergence and its applications to Cesàro means in Banach lattices
• Unbounded topologies and \textit{uo}-convergence in locally solid vector lattices
• AM-Spaces from a Locally Solid Vector Lattice Point of View with Applications
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