基于瑞尔丹数的新序列空间的一些特性

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2024-09-24 DOI:10.1016/j.jmaa.2024.128902

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引用次数: 0

摘要

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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Some properties of new sequence spaces based on Riordan numbers

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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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.