{"title":"\\(C^*\\) -代数中数值半径的新估计","authors":"Ali Zamani","doi":"10.1007/s43036-025-00434-0","DOIUrl":null,"url":null,"abstract":"<div><p>Several numerical radius inequalities in the framework of <span>\\(C^*\\)</span>-algebras are proved in this paper. These results, which are based on an extension of the Buzano inequality for elements in a pre-Hilbert <span>\\(C^*\\)</span>-module, generalize earlier numerical radius inequalities. An expression for the <span>\\(C^*\\)</span>-algebra-valued norm based on the numerical radius is also given.</p></div>","PeriodicalId":44371,"journal":{"name":"Advances in Operator Theory","volume":"10 2","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New estimates for numerical radius in \\\\(C^*\\\\)-algebras\",\"authors\":\"Ali Zamani\",\"doi\":\"10.1007/s43036-025-00434-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Several numerical radius inequalities in the framework of <span>\\\\(C^*\\\\)</span>-algebras are proved in this paper. These results, which are based on an extension of the Buzano inequality for elements in a pre-Hilbert <span>\\\\(C^*\\\\)</span>-module, generalize earlier numerical radius inequalities. An expression for the <span>\\\\(C^*\\\\)</span>-algebra-valued norm based on the numerical radius is also given.</p></div>\",\"PeriodicalId\":44371,\"journal\":{\"name\":\"Advances in Operator Theory\",\"volume\":\"10 2\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2025-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Operator Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s43036-025-00434-0\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Operator Theory","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s43036-025-00434-0","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
New estimates for numerical radius in \(C^*\)-algebras
Several numerical radius inequalities in the framework of \(C^*\)-algebras are proved in this paper. These results, which are based on an extension of the Buzano inequality for elements in a pre-Hilbert \(C^*\)-module, generalize earlier numerical radius inequalities. An expression for the \(C^*\)-algebra-valued norm based on the numerical radius is also given.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
