- Gazi University Journal of Science
- Vol: 30 Issue: 1
- SOME NOTES ON THE SEQUENCE SPACES LΛP(GM) AND LΛ∞(GM)S
SOME NOTES ON THE SEQUENCE SPACES LΛP(GM) AND LΛ∞(GM)S
Authors : Mustafa Cemil Bişgin
Pages : 381-393
View : 9 | Download : 5
Publication Date : 2017-03-14
Article Type : Other
Abstract :In this work, we introduce the sequence spaces l λ p ( G m ) and l λ ∞ ( 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 ( G m ). Finally, we determine α − , β − and γ − duals of the spaces l λ p ( G m ) and l λ ∞ ( G m ).Keywords : Sequence Space, Matrix Transformation, Matrix Domain, Schauder Basis, α−, β− and γ−Duals, Topological Property