Abstract :
Let l , c and c be the Banach spaces of bounded convergent and null ` 0
sequences xs xk.`1 , respectively. Write D xs xkyxkq1.`1 and D2 xs D xky
Dxkq1.`1. In wCanad. Math. Bull. 24 1981., 169]176xH. Kizmaz has introduced and
studied the sequence spaces, E D.s x: D xgE4, where Eg c0 , c, l`4. Recently,
w Doˇga Mat. 17 1993., 18]24xMikail Et defined the sets E D2.s x: D2xgE4. He
obtained a-duals of these sets and characterized the matrix class E, F D2.., where
E,Fg c0,c,l`4. In this paper, we generalize these sets and define E u;D2.s
x: u ? D2 xgE4, where us uk. is another sequence such that uk/0 ks
1, 2, . . . .. We obtain a- and b-duals of these sets and further we characterize the
matrix classes E u;D2., F.and E, F u;D2...
