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Research Paper | Mathematics | Nepal | Volume 3 Issue 2, February 2014

On Normed Space Valued Paranormed Orlicz Space of Bounded Functions and Its Topological Structures

Narayan Prasad Pahari

Abstract: This paper attempts to introduce and study a new class (X, U, , p) of Banach space valued function space using Orlicz function as a generalization of the basic space ofbounded sequences. Besides the investigation of linear topological structures of the class (X, U, , p), our primarily interest is to explore the conditions pertaining to the containment relation between the classes (X, U, , p) in terms of different values of p.

Keywords: Orlicz function, Orlicz space, Paranormed Space, solid space

Edition: Volume 3 Issue 2, February 2014,

Pages: 141 - 146

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