On Banach Space Valued Orlicz Function Space l (X, U, ||.||, ξ ) and its Generalized Form l (X, U, ||.||, ξ, λ, p)

Authors

  • Narayan Prasad Paari Central Department of Education Mathematics, Tribhuvan University, Nepal

DOI:

https://doi.org/10.70530/kuset.v9i2.390

Keywords:

Orlicz function, Orlicz Space, Normal space, GK-, GFK-, GAK-, GAD-, GC- function space

Abstract

This paper attempts to introduce and study a new class l (X, U, ||.||, ξ ) and its generalized form l (X, U, ||.||, ξ, λ, p) of Normed space valued function space using Orlicz function ξ as the generalizations of the basic sequence space l.  Besides the investigation of linear topological structures of the class l (X, U, ||.||, ξ ) when topologized it with suitable natural norm, our primarily interest is to explore the conditions pertaining to the containment relation between the classes l (X, U, ||.||, ξ, λ, p) in terms of different values of λ and p.

Published

2013-12-30

How to Cite

Paari, N. P. (2013). On Banach Space Valued Orlicz Function Space l (X, U, ||.||, ξ ) and its Generalized Form l (X, U, ||.||, ξ, λ, p) . Kathmandu University Journal of Science Engineering and Technology, 9(2). https://doi.org/10.70530/kuset.v9i2.390