On the ideal convergence of double sequences in locally solid Riesz spaces
type: Item
instance of: scholarly article
title: On the ideal convergence of double sequences in locally solid Riesz spaces
zbMATH Open document ID: 1470.40011
DOI: 10.1155/2014/396254
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The aim of this paper is to define the notions of ideal convergence, \(I\)-bounded for double sequences in setting of locally solid Riesz spaces and study some results related to these notions. We also define the notion of \(I^*\)-convergence for double sequences in locally solid Riesz spaces and establish its relationship with ideal convergence.
Mathematics Subject Classification ID: 40A35
Mathematics Subject Classification ID: 40B05
Mathematics Subject Classification ID: 40J05
Mathematics Subject Classification ID: 46A40
zbMATH DE Number: 7022306
Wikidata QID: Q59037270
author: Abdullah Alotaibi
author: Bipan Hazarika
author: S. A. Mohiuddine
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/396254
OpenAlex ID: W2020558623
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description: scientific article; zbMATH DE number 7022306