On the Domain of the Triangle A(λ) on the Spaces of Null, Convergent, and Bounded Sequences

Naim L. Braha and Feyzi Başar

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We introduce the spaces of A(λ)‐null, A(λ)‐convergent, and A(λ)‐bounded sequences. We examine some topological properties of the spaces and give some inclusion relations concerning these sequence spaces. Furthermore, we compute α‐, β‐, and γ‐duals of these spaces. Finally, we characterize some classes of matrix transformations from the spaces of A(λ)‐bounded and A(λ)‐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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https://doi.org/10.1155/2013/476363

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:476363

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