Sentence examples for matrix operators from from inspiring English sources

In this section, we tend to compute the bounds for the norm of lower triangular matrix operators from (l_{p}(w)) into (c_{p} (w)).

In particular, we apply our results for lower triangular matrix operators from (l_{p}) into (c_{p}), when (w_{n}=1) for all n.

In particular, when (w_{n}=1) for all n, the bounds for the norm of lower triangular matrix operators from (c_{p}) into (l_{p}) are deduced.

In this section, we compute the bounds for the norm of lower triangular matrix operators from (c_{p}(w)) into (l_{p}(w)).

In the study, we will expand this problem for matrix operators from (l_{p}(w)) into (c_{p} (w)) and matrix operators from (c_{p}(w)) into (l_{p} (w)), and we consider certain matrix operators such as Cesàro, Nörlund and weighted mean.

Also this problem is considered for lower triangular matrix operators from (c_{p}(w)) into (l_{p} (w)), and the norms of certain matrix operators such as Cesàro, Nörlund and weighted mean are computed.

Moreover, if (M_{A}matrix operator from (l_{p}(w)) into (c_{p}(w)).

Moreover, if the right-hand side of the above inequality is finite, then A is a bounded matrix operator from (c_{p}(w)) into (l_{p}(w)).

Moreover, if the right-hand side of the above inequality is finite, then A is a bounded matrix operator from (l_{p}(w)) into (c_{p}(w)).

If A is a bounded matrix operator from (l_{p}(w)) into itself, then A is a bounded matrix operator from (l_{p}(w)) into (c_{p}(w)) and Vert A Vert _{p,w,c}leq p^ Vert A Vert _{p,w}.

In particular, if (w_{n}=1) for all n and if (M_{A}matrix operator from (l_{p}) into (c_{p}) and (p^m_{A}leq Vert A Vert _{p,c}leq p^M_{A}).