|
|
|
|
a new sequence space and norm of certain matrix operators on this space
|
|
|
|
|
|
|
|
نویسنده
|
roopaei hadi ,foroutannia davoud
|
|
منبع
|
sahand communications in mathematical analysis - 2016 - دوره : 3 - شماره : 1 - صفحه:1 -12
|
|
چکیده
|
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=(en)e=(en) is a partition of finite subsets of the positive integers and p≥1p≥1. we investigate its topological properties and inclusion relations. moreover, we consider the problem of finding the norm of certain matrix operators from lplp into lp(e,δ)lp(e,δ), and apply our results to copson and hilbert matrices.
|
|
کلیدواژه
|
difference sequence space; matrix domains; norm; copson matrix; hilbert matrix
|
|
آدرس
|
vali-e-asr university of rafsanjan, department of mathematics, ایران, vali-e-asr university of rafsanjan, department of mathematics, ایران
|
|
پست الکترونیکی
|
foroutan@vru.ac.ir
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|