Abstract
In the present paper, we propose to study generalized weighted backward shifts BB over non-Archimedean c(0)(N) spaces; here, B=(b(ij)) is an upper triangular matrix with sup(i,j)|b(ij)|<& INFIN;. We investigate the sypercyclic and hypercyclic properties of B-B. Furthermore, certain properties of the operator I+B-B are studied as well. To establish the hypercyclic property of I+B-B we have essentially used the non-Archimedeanity of the norm which leads to the difference between the real case.