{"title":"伪n乘数和伪n约当乘数","authors":"A. Zivari-kazempour, M. Valaei","doi":"10.1515/anly-2021-1009","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we introduce the concepts of pseudo-n-multiplier and pseudo-n-Jordan multiplier on Banach algebras and compare those with the classical notions of n-multiplier and n-Jordan multiplier. We show that under special hypotheses every pseudo- ( n + 1 ) {(n+1)} -Jordan multiplier is a pseudo-n-Jordan multiplier and vice versa.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"154 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Pseudo-n-multipliers and pseudo-n-Jordan multipliers\",\"authors\":\"A. Zivari-kazempour, M. Valaei\",\"doi\":\"10.1515/anly-2021-1009\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper, we introduce the concepts of pseudo-n-multiplier and pseudo-n-Jordan multiplier on Banach algebras and compare those with the classical notions of n-multiplier and n-Jordan multiplier. We show that under special hypotheses every pseudo- ( n + 1 ) {(n+1)} -Jordan multiplier is a pseudo-n-Jordan multiplier and vice versa.\",\"PeriodicalId\":82310,\"journal\":{\"name\":\"Philosophic research and analysis\",\"volume\":\"154 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Philosophic research and analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/anly-2021-1009\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophic research and analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/anly-2021-1009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Pseudo-n-multipliers and pseudo-n-Jordan multipliers
Abstract In this paper, we introduce the concepts of pseudo-n-multiplier and pseudo-n-Jordan multiplier on Banach algebras and compare those with the classical notions of n-multiplier and n-Jordan multiplier. We show that under special hypotheses every pseudo- ( n + 1 ) {(n+1)} -Jordan multiplier is a pseudo-n-Jordan multiplier and vice versa.