{"title":"Frechet局部C*代数中的n-Jordan *-导数","authors":"J. Jamalzadeh, Khatereh Ghasemi, Shahram Ghaffary","doi":"10.22075/IJNAA.2020.19996.2116","DOIUrl":null,"url":null,"abstract":"Using the fixed point method, we prove the Hyers-Ulam stability and the superstability of $n$-Jordan $*$-derivations in Fr'echet locally $C^*$-algebras for the following generalized Jensen-type functional equation$$ fleft(frac{ a+b}{2} right) + fleft( frac{a-b}{2} right) =f(a).$$","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"555-562"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"n-Jordan *-Derivations in Frechet locally C*-algebras\",\"authors\":\"J. Jamalzadeh, Khatereh Ghasemi, Shahram Ghaffary\",\"doi\":\"10.22075/IJNAA.2020.19996.2116\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using the fixed point method, we prove the Hyers-Ulam stability and the superstability of $n$-Jordan $*$-derivations in Fr'echet locally $C^*$-algebras for the following generalized Jensen-type functional equation$$ fleft(frac{ a+b}{2} right) + fleft( frac{a-b}{2} right) =f(a).$$\",\"PeriodicalId\":14240,\"journal\":{\"name\":\"International Journal of Nonlinear Analysis and Applications\",\"volume\":\"13 1\",\"pages\":\"555-562\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Nonlinear Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22075/IJNAA.2020.19996.2116\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Nonlinear Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22075/IJNAA.2020.19996.2116","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
n-Jordan *-Derivations in Frechet locally C*-algebras
Using the fixed point method, we prove the Hyers-Ulam stability and the superstability of $n$-Jordan $*$-derivations in Fr'echet locally $C^*$-algebras for the following generalized Jensen-type functional equation$$ fleft(frac{ a+b}{2} right) + fleft( frac{a-b}{2} right) =f(a).$$