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

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 );.