On Normed Space Valued Total Paranormed Orlicz Space of Null Sequences and its Topological Structures
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 6, Issue 1
Abstract
In this paper,we introduce and study a new class c0 (S, M, u–) of normed space S valued sequences using Orlicz function M as a generalization of basic space of null complex sequences c0. Beside the investigation pertaining to the containment relations of the class c0 (S, M, u–) for the various values of u– our primary interest is to explore its linear topological structures when topologized it with suitable natural paranorm.
Authors and Affiliations
Narayan Prasad Pahari
Keywords
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