Survey on the domain of the matrix lambda in the normed and paranormed sequence spaces

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:62 Issue:1
Survey on the domain of the matrix lambda in the normed and paranormed sequence spaces

Survey on the domain of the matrix lambda in the normed and paranormed sequence spaces

Authors : Feyzi BAŞAR

Pages : 45-59

Doi:10.1501/Commua1_0000000685

View : 15 | Download : 7

Publication Date : 2013-02-01

Article Type : Research Paper

Abstract :In the present paper, we summarize the literature on the normed and paranormed sequence spaces derived by the domain of the matrix lambda. Moreover, we establish some inclusion relations concerning with those spaces and determine their alpha-, beta- and gamma-duals. Finally, we record some open problems and further suggestions related with A summability.
Keywords : Normed and paranormed sequence spaces, matrix domain, trianglematrices, lambda matrix, almost convergence, alpha, beta and gamma duals, matrix transformations

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