On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces. (2nd April 2014)

• Record Type: Journal Article
• Authors: Alotaibi, A.; Hazarika, B.; Mohiuddine, S. A.
• Other Names: Kilicman Adem Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-04-02
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/396254
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : 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.