On the Stability of Orthogonal Additivity in β-Homogeneous F-Spaces  

作　　者：Qi LIU Linlin FU Yongjin LI 

机构地区：[1]Department of Mathematics,Sun Yat-sen University,Guangdong 510275,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2022年第3期289-296,共8页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11971493;12071491);the Fundamental Research Funds for the Central Universities(Grant No.2021qntd21)。

摘　　要：In this paper,we study the stability of the orthogonal equation,which is closely related to the results by W.Fechner and J.Sikorska in 2010.There are some differences that we consider the target space with theβ-homogeneous norm and quasi-norm.Overcoming theβ-homogeneous norm and quasi-norm bottlenecks,we get some new results.

关 键 词：Hyers-Ulam stability β-homogeneous F-spaces quasi-Banach spaces orthogonal additivity 

分 类 号：O177[理学—数学]