On 2 - normed space valued paranormed null sequence space

In this paper we introduce and study a new class c 0 ( S, α￣ , u￣ , ||. , .|| ) of sequences with values in 2- normed space as a generalization of basic null sequence space c 0 . We investigate some conditions pertaining to the containment relations of the class c 0 ( S, α￣ , u￣ , ||. , .|| ) in terms of different α￣ and u￣ and explore the linear topological structures of the space c 0 ( S, αoline; , u￣ , ||. , .|| ) by endowing it with a suitable natural paranorm. BIBECHANA 10 (2014) 20-30 DOI: http://dx.doi.org/10.3126/bibechana.v10i0.9308