On Locally Convex Topological Vector Space Valued Null Function Space c<sub>0</sub> Defined by Semi Norm and Orlicz Function

Authors

  • Narayan Prasad Pahari Central Department of Mathematics Tribhuvan University, Kirtipur, Kathmandu

DOI:

https://doi.org/10.3126/jist.v19i1.13829

Keywords:

Solid space, Orlicz function, Orlicz space, locally convex topological vector space, seminorm

Abstract

The aim of this paper is to introduce and study a new class c0 (S, T, Phi, Xi, u) of locally convex space T- valued functions using Orlicz function Phi as a generalization of some of the well known sequence spaces and function spaces. Besides the investigation pertaining to the structures of the class c0 (S, T, Phi, Xi, u), our primarily interest is to explore some of the containment relations of the class c0 (S, T, Phi, Xi, u) in terms of different Xi and u so that such a class of functions is contained in or equal to another class of similar nature.

Journal of Institute of Science and Technology, 2014, 19(1): 62-68

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Published

2015-11-08

How to Cite

Pahari, N. P. (2015). On Locally Convex Topological Vector Space Valued Null Function Space c<sub>0</sub> Defined by Semi Norm and Orlicz Function. Journal of Institute of Science and Technology, 19(1), 62–68. https://doi.org/10.3126/jist.v19i1.13829

Issue

Vol. 19 No. 1 (2014)

Section

Research Articles

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