On matrix mappings into some strong Cesàro sequence spaces |
| |
Authors: | Ivana Djolovi? Eberhard Malkowsky |
| |
Institution: | a Technical Faculty, University of Belgrade, VJ 12, 19210 Bor, Serbia b Department of Mathematics, Faculty of Science, Fatih University, Büyükçekmece, 34500 Istanbul, Turkey |
| |
Abstract: | We determine the classes (X, YT) of matrix transformations from X into YT where X is one of the classical sequence spaces c0, c, ?∞ and ?1 of all null, convergent and bounded complex sequences and all absolutely convergent complex series, T is a triangle, YT 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 Cesàro method of order 1, with index 1 ? p < ∞. 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. |
| |
Keywords: | Strongly bounded and summable sequences Matrix transformations Cesà ro method |
本文献已被 ScienceDirect 等数据库收录! |
|