巴拿赫代数中的加法函数方程的 Pexider 系统

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-23 DOI:10.1186/s13660-024-03104-6

Mehdi Dehghanian, Yamin Sayyari, Siriluk Donganont, Choonkil Park

引用次数: 0

摘要

在本文中，我们求解了函数方程组 $$\begin{aligned}\f(x+y)+g(y-x)=2f(x), g(x+y)-f(y-x)=2g(y) \end{cases}\displaystyle \end{aligned}$$，并研究了巴拿赫代数中 g 衍生的稳定性。

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 Pexider system of additive functional equations in Banach algebras

In this paper, we solve the system of functional equations $$\begin{aligned} \textstyle\begin{cases} f(x+y)+g(y-x)=2f(x), \\ g(x+y)-f(y-x)=2g(y) \end{cases}\displaystyle \end{aligned}$$ and we investigate the stability of g-derivations in Banach algebras.

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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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.