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Zabeti, Omid

The Banach-Saks property from a locally solid vector lattice point of view. (English) Zbl 1489.46008

Positivity 25, No. 4, 1579-1583 (2021).
The author suggests a few extensions of the Banach-Saks property of Banach lattices to locally solid vector lattices. Among the extensions are the strong, unbounded, and disjoint versions of the property. Some interrelations between the versions are revealed.
Reviewer: S. S. Kutateladze (Novosibirsk)

MSC:

46A40 Ordered topological linear spaces, vector lattices

Keywords:

locally solid Banach-Saks property; locally solid disjoint Banach-Saks property; locally solid strong unbounded Banach-Saks property; locally solid unbounded Banach-Saks property; locally solid vector lattice
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\textit{O. Zabeti}, Positivity 25, No. 4, 1579--1583 (2021; Zbl 1489.46008)
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