{"title":"Banach代数中广义对易子的范数不等式","authors":"S. Dragomir","doi":"10.55937/sut/1641859472","DOIUrl":null,"url":null,"abstract":". In this paper, by utilising the Riesz functional calculus in a Banach algebra B , we provide some norm inequalities for the generalized commutator f y ) z (cid:0) zf ( x ) where x; y; z 2 B and f is an analytic function for which the elements f ( y ) and f ( x ) exist. Some examples for the resolvent and exponential functions are also given.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Norm inequalities for the generalised commutator in Banach algebras\",\"authors\":\"S. Dragomir\",\"doi\":\"10.55937/sut/1641859472\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, by utilising the Riesz functional calculus in a Banach algebra B , we provide some norm inequalities for the generalized commutator f y ) z (cid:0) zf ( x ) where x; y; z 2 B and f is an analytic function for which the elements f ( y ) and f ( x ) exist. Some examples for the resolvent and exponential functions are also given.\",\"PeriodicalId\":38708,\"journal\":{\"name\":\"SUT Journal of Mathematics\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SUT Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.55937/sut/1641859472\",\"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":"SUT Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55937/sut/1641859472","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
摘要
． 本文利用Banach代数B中的Riesz泛函演算，给出了广义对易子f (y) z (cid:0) zf (x)的几个范数不等式，其中x;y;z2b和f是元素f (y)和f (x)存在的解析函数。给出了解函数和指数函数的一些例子。
Norm inequalities for the generalised commutator in Banach algebras
. In this paper, by utilising the Riesz functional calculus in a Banach algebra B , we provide some norm inequalities for the generalized commutator f y ) z (cid:0) zf ( x ) where x; y; z 2 B and f is an analytic function for which the elements f ( y ) and f ( x ) exist. Some examples for the resolvent and exponential functions are also given.
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