Some topological and algebraic properties of paranorm i-convergent double sequence spaces

Authors

  • BIPAN HAZARIKA Department of Mathematics, Rajiv Gandhi University, Doimukh, Itanagar-791 112, Arunachal Pradesh, India.

Keywords:

Double sequence, ideal, -convergence, paranorm.

Abstract

ABSTRACT

In this article some new double sequence spaces  , ,   and   for  = (  a double sequence of positive real numbers have been introduced. Some algebraic and topological properties of these spaces have been studied. The decomposition theorem and some inclusion relations are proved.

 

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Published

03-09-2013