{"title":"矩阵乘积的一些单元相似不变函数值保持器","authors":"M. Bendaoud, A. Benyouness","doi":"10.1007/s44146-024-00134-w","DOIUrl":null,"url":null,"abstract":"<div><p>Let <span>\\({\\mathcal {M}}_{n}\\)</span> be the algebra of <span>\\(n\\times n\\)</span> complex matrices. Complete descriptions are given of the maps on <span>\\({\\mathcal {M}}_{n}\\)</span> leaving invariant some unitary similarity invariant functional values of the product of matrices such as the numerical radius, the pseudo spectral radius, or the condition spectral radius.\n</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"91 1-2","pages":"247 - 265"},"PeriodicalIF":0.6000,"publicationDate":"2024-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some unitary similarity invariant functional values preservers of matrix products\",\"authors\":\"M. Bendaoud, A. Benyouness\",\"doi\":\"10.1007/s44146-024-00134-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Let <span>\\\\({\\\\mathcal {M}}_{n}\\\\)</span> be the algebra of <span>\\\\(n\\\\times n\\\\)</span> complex matrices. Complete descriptions are given of the maps on <span>\\\\({\\\\mathcal {M}}_{n}\\\\)</span> leaving invariant some unitary similarity invariant functional values of the product of matrices such as the numerical radius, the pseudo spectral radius, or the condition spectral radius.\\n</p></div>\",\"PeriodicalId\":46939,\"journal\":{\"name\":\"ACTA SCIENTIARUM MATHEMATICARUM\",\"volume\":\"91 1-2\",\"pages\":\"247 - 265\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-05-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACTA SCIENTIARUM MATHEMATICARUM\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s44146-024-00134-w\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACTA SCIENTIARUM MATHEMATICARUM","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s44146-024-00134-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some unitary similarity invariant functional values preservers of matrix products
Let \({\mathcal {M}}_{n}\) be the algebra of \(n\times n\) complex matrices. Complete descriptions are given of the maps on \({\mathcal {M}}_{n}\) leaving invariant some unitary similarity invariant functional values of the product of matrices such as the numerical radius, the pseudo spectral radius, or the condition spectral radius.
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