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Vladikavkazskii Matematicheskii Zhurnal, 2011, Volume 13, Number 2, Pages 26–34 (Mi vmj382)  

This article is cited in 1 scientific paper (total in 1 paper)

Some vector valued multiplier difference sequence spaces defined by a sequence of Orlicz functions

H. Dutta

Department of Mathematics, Gauhati University, INDIA, Assam
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Abstract: In this article we introduce some new difference sequence spaces with a real 2-normed linear space as base space and which are defined using a sequence of Orlicz functions, a bounded sequence of positive real numbers and a sequence of non-zero reals as multiplier sequence. We show that these spaces are complete paranormed spaces when the base space is a 2-Banach space and investigate these spaces for solidity, symmetricity, convergence free, monotonicity and sequence algebra. Further we obtain some relation between these spaces as well as prove some inclusion results.
Key words: difference sequence, 2-norm, Orlicz function, paranorm, completeness, solidity, symmetricity, convergence free, monotone space.
Received: 03.08.2009
Document Type: Article
Language: English
Citation: H. Dutta, “Some vector valued multiplier difference sequence spaces defined by a sequence of Orlicz functions”, Vladikavkaz. Mat. Zh., 13:2 (2011), 26–34
Citation in format AMSBIB
\Bibitem{Dut11}
\by H.~Dutta
\paper Some vector valued multiplier difference sequence spaces defined by a~sequence of Orlicz functions
\jour Vladikavkaz. Mat. Zh.
\yr 2011
\vol 13
\issue 2
\pages 26--34
\mathnet{http://mi.mathnet.ru/vmj382}
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  • https://www.mathnet.ru/eng/vmj/v13/i2/p26
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Владикавказский математический журнал
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    Abstract page:332
    Full-text PDF :95
    References:44
    First page:1
     
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