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

Functional Analysis 2020-10-27 v1

Abstract

The aim of this note is to consider different notions for the Banach-Saks property in locally solid vector lattices as an extension for the known concepts of the Banach-Saks property in Banach lattices. We investigate relations between them; in particular, we shall characterize spaces in which, these notions agree.

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Cite

@article{arxiv.2010.13377,
  title  = {The Banach-Saks property from a locally solid vector lattice point of view},
  author = {Omid Zabeti},
  journal= {arXiv preprint arXiv:2010.13377},
  year   = {2020}
}

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6 Pages