Negative Difference Operator and Its Associated Sequence Space

Let Delta(-n) be the backward difference operator of order -n. In this paper, we study some properties of the matrix domain associated with this operator and after computing alpha-, beta-, gamma-duals, we characterize some matrix classes on this space. Moreover, we investigate the problem of finding the norm of well-known operators such as Cesaro and Hilbert from l(p)(Delta(-n)) into l(p).WOS:0006287054000012-s2.0-8510267877