An Orlicz extension of difference sequences on real linear n-normed spaces

被引：0
作者：
Hemen Dutta
机构：
[1] Gauhati University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2013卷
关键词：
-norm; Orlicz function; difference operator; completeness; convex space; topological equivalence;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we present an extension of some classes of difference sequences by considering them in a base space X, a real linear n-normed space via a sequence of Orlicz functions. We investigate the spaces for linearity, existence of norms and completeness under different conditions. We also show that they are convex spaces and compute their topologically equivalent spaces. Further some results on equivalence of various norms on such extended spaces are presented.
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