English

Convergence via filter in locally solid Riesz spaces

Functional Analysis 2018-03-08 v1

Abstract

Let (E,τ)(E,\tau) be a locally solid vector lattice. A filter F\mathcal{F} on the set EE is said to be converge to a vector eEe\in E if, each zero neighborhood set UU containing ee, UU belongs to F\mathcal{F}. We study on the concept of this convergence and give some basic properties of it.

Cite

@article{arxiv.1803.02534,
  title  = {Convergence via filter in locally solid Riesz spaces},
  author = {Abdullah Aydın},
  journal= {arXiv preprint arXiv:1803.02534},
  year   = {2018}
}

Comments

5 pages

R2 v1 2026-06-23T00:44:48.651Z