• ON CERTAIN TOPOLOGICAL STRUCTURES OF ORLICZ SPACE ......
Abstract
The aim of this paper is to introduce and study a new class S ((X ,|| . ||), F, AA , AA ) of vector valued sequences defined by using Orlicz function F as a generalization of the basic space of converging sequences. Besides the investigation of linear topological structures of the class (S ((X ,|| . ||), F, AA , AA ), F) when topologized it with suitable natural paranorm, our primarily interest is to explore the conditions pertaining to the containment relation of the class S ((X ,|| . ||) , F, AA , AA ) in terms of AA and AA .
Keywords
Paranormed Space, Sequence Space, Orlicz Function, Orlicz Space, Solid Space, GK –, GC– space
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