{"title":"论 Volterra 算子幂的实部和虚部","authors":"Thomas Ransford, Dashdondog Tsedenbayar","doi":"10.1007/s00020-024-02755-w","DOIUrl":null,"url":null,"abstract":"<p>We study the real and imaginary parts of the powers of the Volterra operator on <span>\\(L^2[0,1]\\)</span>, specifically their eigenvalues, their norms and their numerical ranges.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Real and Imaginary Parts of Powers of the Volterra Operator\",\"authors\":\"Thomas Ransford, Dashdondog Tsedenbayar\",\"doi\":\"10.1007/s00020-024-02755-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We study the real and imaginary parts of the powers of the Volterra operator on <span>\\\\(L^2[0,1]\\\\)</span>, specifically their eigenvalues, their norms and their numerical ranges.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-02-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00020-024-02755-w\",\"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/10.1007/s00020-024-02755-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Real and Imaginary Parts of Powers of the Volterra Operator
We study the real and imaginary parts of the powers of the Volterra operator on \(L^2[0,1]\), specifically their eigenvalues, their norms and their numerical ranges.
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