文章基本信息

标题：Some classes of Cesàro-type difference sequences over n -normed spaces
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作者：Hemen Dutta
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：286
DOI：10.1186/1687-1847-2013-286
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we introduce some Cesàro-type difference sequences spaces defined over a real linear n-normed space and investigate the spaces for completeness under suitable n-norm in each case. Relevant relations among the classes of sequences are examined. We also introduce the notion of n-BK-spaces and show that the spaces can be made an n-BK-space under certain condition. Further, we compute the Köthe-Toeplitz duals of the spaces, wherever possible within the scope of the research of this article. MSC:40A05, 46A20, 46D05, 46A45, 46E30.
关键词：Cesàro summability ; difference sequences ; n -normed spaces ; completeness ; Köthe-Toeplitz dual