## Abstract and Applied Analysis

### Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts

#### Abstract

We introduce some double sequences spaces involving the notions of invariant mean (or $\sigma$-mean) and $\sigma$-convergence for double sequences while the idea of $\sigma$-convergence for double sequences was introduced by Çakan et al. 2006, by using the notion of invariant mean. We determine here some inclusion relations and topological results for these new double sequence spaces.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 507950, 11 pages.

Dates
First available in Project Euclid: 27 February 2014

https://projecteuclid.org/euclid.aaa/1393511845

Digital Object Identifier
doi:10.1155/2013/507950

Mathematical Reviews number (MathSciNet)
MR3045002

Zentralblatt MATH identifier
1277.46003

#### Citation

Mohiuddine, S. A.; Alotaibi, Abdullah. Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts. Abstr. Appl. Anal. 2013 (2013), Article ID 507950, 11 pages. doi:10.1155/2013/507950. https://projecteuclid.org/euclid.aaa/1393511845

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