具有矩阵和紧算子的绝对Lucas空间

Mathematical Sciences and Applications E-Notes Pub Date : 2021-02-17 DOI:10.36753/mathenot.816576

Fadime Gökçe

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引用次数: 1

摘要

本研究的主要目的是引入绝对Lucas系列空间，并研究它们的一些代数和拓扑结构，如包含关系、该空间的BK−、对偶和Schauder基。并给出了与这些空间相关的矩阵算子及其范数的刻画。最后利用非紧性的Hausdorff测度，得到了它们上的矩阵算子是紧的充要条件

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ABSOLUTE LUCAS SPACES WITH MATRIX AND COMPACT OPERATORS

The main purpose of this study is to introduce the absolute Lucas series spaces and to investigate their some algebraic and topological structure such as some inclusion relations, BK − to this space, duals and Schauder basis. Also, the characterizations of matrix operators related to these space with their norms are given. Finally, by using Hausdorff measure of noncompactness, the necessary and sufﬁcient conditions for a matrix operator on them to be compact are obtained

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Mathematical Sciences and Applications E-Notes

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