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http://dx.doi.org/10.5666/KMJ.2010.50.1.059

On Some New Paranormed Difference Sequence Spaces Defined by Orlicz Functions  

Tripathy, Binod Chandra (Mathematical Sciences Division, Institute of Advanced Study in Science and Technology)
Dutta, Hemen (Department of Mathematics, A.D.P. College)
Publication Information
Kyungpook Mathematical Journal / v.50, no.1, 2010 , pp. 59-69 More about this Journal
Abstract
The main aim of this article is to introduce a new class of sequence spaces using the concept of n-norm and to investigate these spaces for some linear topological structures as well as examine these spaces with respect to derived (n-1)-norm. We use an Orlicz function, a bounded sequence of positive real numbers and some difference operators to construct these spaces so that they become more generalized and some other spaces can be derived under special cases. These investigations will enhance the acceptability of the notion of n-norm by giving a way to construct different sequence spaces with elements in n-normed spaces.
Keywords
n-norm; difference spaces; Orlicz function; paranorm; completeness;
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