SOME NOTES ON THE SEQUENCE SPACES LΛP(GM) AND LΛ∞(GM)S

Year 2017, Volume: 30 Issue: 1, 381 - 393, 14.03.2017

Mustafa Cemil Bişgin

Abstract

In this work, we introduce the sequence spaces lλp (Gm) and lλ∞(Gm) derived by the domain of the composition of m−th order generalized difference matrix and lambda matrix. Moreover, we determine some topological properties and examine inclusion relations related to these spaces. Furthermore, we give Schauder basis for the space lλp (Gm ). Finally, we determine α−, β− and γ−duals of the spaces lλp(Gm) and lλ∞ (Gm ). 

Keywords

Sequence Space, Matrix Transformation; Matrix Domain; Schauder Basis; α−, β− and γ−Duals; Topological Property

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