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2013 On the Domain of the Triangle A ( λ ) on the Spaces of Null, Convergent, and Bounded Sequences
Naim L. Braha, Feyzi Başar
Abstr. Appl. Anal. 2013: 1-9 (2013). DOI: 10.1155/2013/476363

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.

Citation

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Naim L. Braha. Feyzi Başar. "On the Domain of the Triangle A ( λ ) on the Spaces of Null, Convergent, and Bounded Sequences." Abstr. Appl. Anal. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/476363

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1303.40003
MathSciNet: MR3064395
Digital Object Identifier: 10.1155/2013/476363

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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