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arXiv · 1903.10734

Statistical unbounded convergence in Banach lattices

Zhangjun Wang·Zili Chen·Jinxi Chen
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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.

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Zhangjun Wang, Zili Chen, Jinxi Chen. 2019-03-26. Statistical unbounded convergence in Banach lattices. https://arxiv.org/abs/1903.10734

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