首页 | 本学科首页   官方微博 | 高级检索  
     检索      


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 (XYT) 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!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号