On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences

Naim L. Braha and Feyzi Başar

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

We introduce the spaces of -null, -convergent, and -bounded sequences. We examine some topological properties of the spaces and give some inclusion relations concerning these sequence spaces. Furthermore, we compute -, -, and -duals of these spaces. Finally, we characterize some classes of matrix transformations from the spaces of -bounded and -convergent sequences to the spaces of bounded, almost convergent, almost null, and convergent sequences and present a Steinhaus type theorem.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:476363

DOI: 10.1155/2013/476363

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