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On some n-normed linear space valued difference sequences

delete2011-12-01
delete14
PRE
AI
H
Hemen Dutta *
DOI:10.1016/j.jfranklin.2011.09.010delete
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摘要

摘要

En 中文
The main aim of this article is to extend the notion of strongly Cesaro summable and strongly lacunary summable real sequences to n-normed linear space valued (n-nls valued) difference sequences. Consequently we introduce the spaces vertical bar sigma(1)vertical bar (X,del) and N(theta)(X,del), respectively, where X is an n-normed space and del is a difference operator. We investigate these spaces for completeness as well as for the relationship between these spaces. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
Keyword:
BANACH-SPACES
CONTROLLABILITY
SUMMABILITY

期刊

J
Journal of the Franklin Institute-Engineering and Applied Mathematics
IF:
3.7
论文数:
6.4K
被引数:
1.5W

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