On the domain of the triangle \(A(\lambda)\) on the spaces of null, convergent, and bounded sequences
type: Item
instance of: scholarly article
title: On the domain of the triangle \(A(\lambda)\) on the spaces of null, convergent, and bounded sequences
zbMATH Open document ID: 1303.40003
DOI: 10.1155/2013/476363
author: Naim L. Braha
author: Feyzi Başar
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We introduce the spaces of \(A(\lambda)\)-null, \(A(\lambda)\)-convergent, and \(A(\lambda)\)-bounded sequences. We examine some topological properties of the spaces and give some inclusion relations concerning these sequence spaces. Furthermore, we compute \(\alpha\)-, \(\beta\)-, and \(\gamma\)-duals of these spaces. Finally, we characterize some classes of matrix transformations from the spaces of \(A(\lambda)\)-bounded and \(A(\lambda)\)-convergent sequences to the spaces of bounded, almost convergent, almost null, and convergent sequences and present a Steinhaus type theorem.
Mathematics Subject Classification ID: 40C05
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 6306862
zbMATH Keywords: sequence spaces
zbMATH Keywords: matrix transformation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/476363
OpenAlex ID: W2123987791
Wikidata QID: Q58916372
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description: scientific article; zbMATH DE number 6306862