{"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":18282,"journal":{"name":"Mathematica Slovaca","volume":"39 1","pages":""},"PeriodicalIF":0.9000,"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\":18282,\"journal\":{\"name\":\"Mathematica Slovaca\",\"volume\":\"39 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Slovaca\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/ms-2024-0070\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Slovaca","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/ms-2024-0070","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","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.
期刊介绍:
Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc. The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.