Open AccessOn Zweier I-convergent double sequence spaces
Author(s) -
Anish Khan,
Nazneen Khan
Publication year - 2016
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1612361k
Subject(s) - mathematics , sequence (biology) , limit of a sequence , pure mathematics , decomposition theorem , algebraic number , sequence space , decomposition , discrete mathematics , mathematical analysis , banach space , limit (mathematics) , ecology , genetics , biology
In this article we introduce the Zweier I-convergent double sequence spaces $~_2\mathcal{Z}^{I},~_2\mathcal{Z}^{I}_{0}$ and $~_2\mathcal{Z}^{I}_{\infty}$. We prove the decomposition theorem and study topological properties, algebraic properties and some inclusion relations on these spaces.\\
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