Geodesic
Two valued measure and some new double sequence spaces in $2$-normed spaces
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 809-825.

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The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in $2$-normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before.
DOI : 10.1007/s10587-011-0029-7
Classification : 40A99, 40C05, 40H05, 46A45, 46A70
Keywords: convergence; $\mu $-statistical convergence; convergence in $\mu $-density; condition (APO$_{2}$); 2-norm; 2-normed space; paranorm; paranormed space; Orlicz function; sequence space 
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     title = {Two valued measure and some new double sequence spaces in $2$-normed spaces},
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Das, Pratulananda; Savas, Ekrem; Bhunia, Santanu. Two valued measure and some new double sequence spaces in $2$-normed spaces. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 809-825. doi : 10.1007/s10587-011-0029-7. http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0029-7/

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