the norm of certain matrix operators on the new difference sequence spaces $i$
نویسندگان
چکیده
the purpose of the present study is to 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 $pge 1$. the topological properties and inclusion relations of this space are studied. moreover, the problem of finding the norm of certain matrix operators such as copson and hilbert from $l_p$ into $ l_p(e,delta)$ is investigated.
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عنوان ژورنال:
sahand communications in mathematical analysisناشر: university of maragheh
ISSN 2322-5807
دوره 3
شماره 1 2016
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