Abstract
In this paper we introduce the modular sequence space of χ 2 and examine some topological properties of these space also establish some duals results among them. Lindenstrauss and Tzafriri (7) used the idea of Orlicz function to define the sequence space lM which is called an Orlicz sequence space. Another generalization of Orlicz sequence spaces is due to Woo (9). We define the sequence spaces χ 2 and χ 2� g , where f = (fmn) and g = (gmn) are sequences of modulus
Highlights
Babu abstract: In this paper we introduce the modular sequence space of χ2 and examine some topological properties of these space establish some duals results among them
Lindenstrauss and Tzafriri [7] used the idea of Orlicz function to define the sequence space lM which is called an Orlicz sequence space
We may summarize the knowledge given in some document related to the double sequence spaces
Summary
We define the sequence spaces χ2fλ and χ2gλ, where f = (fmn) and g = (gmn) are sequences of modulus functions such that fmn and gmn be mutually complementary for each m, n. If X is a sequence space, we give the following definitions: (i)X′ = the continuous dual of X; (ii)Xα = a = (amn) : We introduce the following difference double sequence spaces defined by
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