一种新的副形序列空间与矩阵变换

Mathematical Sciences and Applications E-Notes Pub Date : 2020-03-20 DOI:10.36753/mathenot.627066

G. C. H. Güleç

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引用次数: 0

摘要

最近，Hazar和Sarigol定义并研究了[1]中1≤p<∞的级数空间|C₁|_{p}。本文的目的是引入一个新的副形空间|C₁|(p)，其中p=(p_{k})是一个正实数的有界序列，将Hazar和Sarigol在[1]中的结果推广到副形空间。此外，我们研究了该副形空间的拓扑性质，并计算了其α-、β-和γ对偶。最后，我们刻画了无限矩阵(|C₁|(p)，μ)和(μ，|C₁|(p))的类，其中μ是任意给定的序列空间

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A new paranormed series space and matrix transformations

Recently, Hazar and Sarigol have defined and studied the series space |C₋₁|_{p} for 1≤p<∞ in [1]. The aim of this study is to introduce a new paranormed space |C₋₁|(p), where p=(p_{k}) is a bounded sequence of positive real numbers, which extends the results of Hazar and Sarigol in [1] to paranormed space. Besides this, we investigate topological properties and compute the α-,β-, and γ duals of this paranormed space. Finally, we characterize the classes of infinite matrices (|C₋₁|(p),μ) and (μ,|C₋₁|(p)), where μ is any given sequence spaces

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Mathematical Sciences and Applications E-Notes

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