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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  • [1] Lindenstrauss J(1971)On Orlicz sequence spaces Isr. J. Math 10 379-390
  • [2] Tzafriri L(1981)On certain sequence spaces Can. Math. Bull 24 169-176
  • [3] Kizmaz H(1995)On generalized difference sequence spaces Soochow J. Math 21 377-386
  • [4] Et M(2006)A new type of difference sequence spaces Int. J. Sci. Technol 1 11-14
  • [5] Colak R(2005)On a new type of generalized difference Cesàro sequence spaces Soochow J. Math 31 333-340
  • [6] Tripathy BC(2009)Characterization of certain matrix classes involving generalized difference summability spaces Appl. Sci 11 60-67
  • [7] Esi A(1973)2-inner product spaces Demonstr. Math 6 525-536
  • [8] Tripathy BC(1964)2-normed spaces Math. Nachr 28 1-43
  • [9] Esi A(1969)Uber 2-Banach Räume Math. Nachr 42 335-347
  • [10] Tripathy BK(1965)Linear 2-normietre Räume Math. Nachr 28 1-43
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