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

Journal of inequalities and applications

Hemen Dutta¹ 

关键词: n-norm;    Orlicz function;    difference operator;    completeness;    convex space;    topological equivalence;   

DOI  :  10.1186/1029-242X-2013-232

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:40A05, 46B20, 46B99, 46A19, 46A99.

【 授权许可】

CC BY