Statistical unbounded convergence in Banach lattices
Functional Analysis
2019-09-12 v8
Abstract
Several recent papers investigated unbounded and statistical versions of order convergence and topology convergence in locally solid Riesz space. In this papers, we study the statistical unbounded order and topology convergence in Riesz spaces and Banach lattices. In particular, we study the relationship of those convergence and characterize order continuous, KB, reflexive Banach lattices in terms of these convergence.
Cite
@article{arxiv.1903.10734,
title = {Statistical unbounded convergence in Banach lattices},
author = {Zhangjun Wang and Zili Chen and Jinxi Chen},
journal= {arXiv preprint arXiv:1903.10734},
year = {2019}
}