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

Authors : Mustafa Cemil Bişgin

Pages : 381-393

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Publication Date : 2017-03-14

Article Type : Other Papers

Abstract :In this work, we introduce the sequence spaces l λ p insert ignore into journalissuearticles values( G m ); and l λ ∞ insert ignore into journalissuearticles values( G m ); 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 l λ p insert ignore into journalissuearticles values( G m );. Finally, we determine α − , β − and γ − duals of the spaces l λ p insert ignore into journalissuearticles values( G m ); and l λ ∞ insert ignore into journalissuearticles values( G m );. 
Keywords : Sequence Space, Matrix Transformation, Matrix Domain, Schauder Basis, α, β and γ Duals, Topological Property