Abstract
Et [11] introduced the Cesaro difference sequence spaces Xp (Delta(m)) (1 <= p < infinity), X-infinity(Delta(m)) and determined their generalized Kothe-Toeplitz duals and some of the related matrix transformations. We here propose to derive further properties concerning the space X-infinity(Delta(2)) along with the introduction of a new difference sequence space C-1(Delta(2)). It is shown that the non-absolute type sequence spaces X-infinity(Delta(2)) and C-1(Delta(2)) are BK spaces, the former of which is inseparable, and strictly includes the separable Cesar summable difference sequence space C1(Delta(2)). The Kothe-Toeplitz duals of X-infinity(Delta(2)) and C-1(Delta(2)) are computed and as an application, the matrix classes (C-1(Delta(2)), l(infinity)), (C-1(Delta(2)), e) and (C-1(Delta(2)), co) are also characterized.