绝对Lucas可和级数和矩阵算子的副形空间

IF 0.5 Q3 MATHEMATICS Facta Universitatis-Series Mathematics and Informatics Pub Date : 2021-07-30 DOI:10.22190/FUMI200602020G

Fadime Gökçe

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摘要

本文的目的是引入绝对级数空间$\left\vert \mathcal{L}^{\phi }(r,s)\right\vert (\mu )$作为绝对卢卡斯方法可和的所有级数的集合，并给出其拓扑和代数结构如$FK-$空间、对偶和Schauder基。此外，还对该空间上的某些矩阵算子进行了表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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PARANORMED SPACES OF ABSOLUTE LUCAS SUMMABLE SERIES AND MATRIX OPERATORS

The aim of this paper is to introduce the absolute series space $\left\vert \mathcal{L}^{\phi }(r,s)\right\vert (\mu )$ as the the set of all series summable by the absolute Lucas method, and to give its topological and algebraic structure such as $FK-$space, duals and Schauder basis. Also, certain matrix operators on this space are characterized.

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Facta Universitatis-Series Mathematics and Informatics MATHEMATICS-

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