SOME GEOMETRIC PROPERTIES OF DIFFERENCE SEQUENCE SPACES OF ORDER m DERIVED BY GENERALIZED MEANS AND COMPACT OPERATORS
نویسندگان
چکیده
We have introduced a new sequence space l(r,s,t, p;Δ(m) ) combining by using generalized means and difference operator of order m . Some topological properties as well as geometric properties namely Banach-Saks property of type p and uniform Opial property have been studied. Furthermore, the α -, β -, γ duals of this space are computed and also obtained necessary and sufficient conditions for some matrix transformations from l(r,s,t, p;Δ(m) ) to l∞, l1 . Finally, we obtained some identities or estimates for operator norms and measure of noncompactness of some matrix operators on the BK space lp(r,s,t;Δ) by applying the Hausdorff measure of noncompactness. Mathematics subject classification (2010): 46A45, 46B15, 46B50.
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