On matrix mappings into some strong Cesaro sequence spaces

We determine the classes (X, Y-T) of matrix transformations from X into Y-T where X is one of the classical sequence spaces c(0), c, l(infinity) and l(1) of all null, convergent and bounded complex sequences and all absolutely convergent complex series, T is a triangle, Y-T is the matrix domain of T in Y and Y is any of the sets of all sequences that are summable, summable to zero or bounded by the strong Cesaro method of order 1, with index 1 <= p < infinity. Furthermore, we determine the representations of the general bounded linear operators from c into Y. We also establish estimates for the norms of the operators in each case. (C) 2011 Elsevier Inc. All rights reserved.