%0 Journal Article
%T A new sequence space and norm of certain matrix operators on this space
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Roopaei, Hadi
%A Foroutannia, Davoud
%D 2016
%\ 02/01/2016
%V 03
%N 1
%P 1-12
%! A new sequence space and norm of certain matrix operators on this space
%K Difference sequence space
%K Matrix domains
%K norm
%K Copson matrix
%K Hilbert matrix
%R
%X In the present paper, we introduce the sequence space [{l_p}(E,Delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left| sum_{j in {E_n}} x_j - sum_{j in E_{n + 1}} x_jright| ^p < infty right},] where $E=(E_n)$ is a partition of finite subsets of the positive integers and $pge 1$. We investigate its topological properties and inclusion relations. Moreover, we consider the problem of finding the norm of certain matrix operators from $l_p$ into $ l_p(E,Delta)$, and apply our results to Copson and Hilbert matrices.
%U https://scma.maragheh.ac.ir/article_18569_d37578addf12775560a0dd1348a14dea.pdf