Some properties of new sequence spaces based on Riordan numbers

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-24 DOI:10.1016/j.jmaa.2024.128902

Naim L. Braha , Toufik Mansour

引用次数: 0

Abstract

In this paper, we define a new class of sequence spaces via Riordan numbers and prove their topological properties, and inclusion relations, obtain Schauder basis, and describe

α, β

and γ duals of them. We have given conditions under which there is matrix transformation between those new sequence spaces and the well-known classical sequence spaces. In the last part, we are given some results related to some special operator classes, such as approximable operators, nuclear operators, and ideal operators.

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基于瑞尔丹数的新序列空间的一些特性

在本文中，我们通过瑞尔丹数定义了一类新的序列空间，证明了它们的拓扑性质和包含关系，得到了 Schauder 基，并描述了它们的 α、β 和 γ 对偶。我们给出了这些新序列空间与众所周知的经典序列空间之间存在矩阵变换的条件。在最后一部分，我们给出了一些与特殊算子类相关的结果，如可近似算子、核算子和理想算子。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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