## Abstract and Applied Analysis

### On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces

#### 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 ${I}^{\ast}$-convergence for double sequences in locally solid Riesz spaces and establish its relationship with ideal convergence.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 396254, 6 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412273295

Digital Object Identifier
doi:10.1155/2014/396254

Mathematical Reviews number (MathSciNet)
MR3193507

Zentralblatt MATH identifier
1314.40004

#### Citation

Alotaibi, A.; Hazarika, B.; Mohiuddine, S. A. On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces. Abstr. Appl. Anal. 2014 (2014), Article ID 396254, 6 pages. doi:10.1155/2014/396254. https://projecteuclid.org/euclid.aaa/1412273295

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