{"title":"d 元组算子和算子矩阵的欧氏算子半径不等式","authors":"Suvendu Jana, Pintu Bhunia, Kallol Paul","doi":"10.1515/ms-2024-0070","DOIUrl":null,"url":null,"abstract":"We study Euclidean operator radius inequalities of <jats:italic>d</jats:italic>-tuple operators as well as the sum and the product of <jats:italic>d</jats:italic>-tuple operators. A power inequality for the Euclidean operator radius of <jats:italic>d</jats:italic>-tuple operators is also studied. Further, we study the Euclidean operator radius inequalities of 2 × 2 operator matrices whose entries are <jats:italic>d</jats:italic>-tuple operators.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Euclidean operator radius inequalities of d-tuple operators and operator matrices\",\"authors\":\"Suvendu Jana, Pintu Bhunia, Kallol Paul\",\"doi\":\"10.1515/ms-2024-0070\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study Euclidean operator radius inequalities of <jats:italic>d</jats:italic>-tuple operators as well as the sum and the product of <jats:italic>d</jats:italic>-tuple operators. A power inequality for the Euclidean operator radius of <jats:italic>d</jats:italic>-tuple operators is also studied. Further, we study the Euclidean operator radius inequalities of 2 × 2 operator matrices whose entries are <jats:italic>d</jats:italic>-tuple operators.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/ms-2024-0070\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/ms-2024-0070","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们研究了 d 元组算子的欧氏算子半径不等式以及 d 元组算子的和与积。我们还研究了 d 元组算子欧氏算子半径的幂不等式。此外，我们还研究了条目为 d 元组算子的 2 × 2 算子矩阵的欧氏算子半径不等式。
Euclidean operator radius inequalities of d-tuple operators and operator matrices
We study Euclidean operator radius inequalities of d-tuple operators as well as the sum and the product of d-tuple operators. A power inequality for the Euclidean operator radius of d-tuple operators is also studied. Further, we study the Euclidean operator radius inequalities of 2 × 2 operator matrices whose entries are d-tuple operators.
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