追求趋同：探索非线性环境中的数列

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-07-08 DOI:10.1007/s00013-024-02022-9

Geivison Ribeiro

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引用次数: 0

摘要

本注释是对（\left[ \mathcal {S}\right] \）可线性概念中一个结果的扩展，这个结果最初是由贝纳尔-冈萨雷斯（Bernal-González）、科内赫罗（Conejero）、穆里略-阿西拉（Murillo-Arcila）和塞瓦内-塞普尔韦达（Seoane-Sepúlveda）提出的。此外，我们用 \(\left[ \ell _{\infty }\right] \)-可线性给出了可线性在 F 空间中封闭子空间联盟的补集上下文中的特征。我们还提出了规范空间和 p-Banach 空间的负结果。这些发现有助于理解向量空间中奇异设置下的线性。

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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A quest for convergence: exploring series in non-linear environments

This note presents an extension of a result within the concept of \(\left[ \mathcal {S}\right] \)-lineability, originally due to Bernal-González, Conejero, Murillo-Arcila, and Seoane-Sepúlveda. Additionally, we provide a characterization of lineability in the context of complements of unions of closed subspaces in F-spaces in terms of \(\left[ \ell _{\infty }\right] \)-lineability. We also present a negative result in both normed spaces and p-Banach spaces. These findings contribute to the understanding of linearity within exotic settings in vector spaces.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.