{"title":"计算微分算子的q-数值范围","authors":"Ahmed Muhammad, Faiza Abdullah Shareef","doi":"10.1155/2020/6584805","DOIUrl":null,"url":null,"abstract":"A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of thez Hilbert space. In this paper, we establish an approximation of the - numerical range of bounded and unbounnded operator matrices by variational methods. Application to SchrA¶dinger operator, Stokes operator, and Hain-LA¼st operator is given.","PeriodicalId":92219,"journal":{"name":"International journal of big data","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computing the q-Numerical Range of Differential Operators\",\"authors\":\"Ahmed Muhammad, Faiza Abdullah Shareef\",\"doi\":\"10.1155/2020/6584805\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of thez Hilbert space. In this paper, we establish an approximation of the - numerical range of bounded and unbounnded operator matrices by variational methods. Application to SchrA¶dinger operator, Stokes operator, and Hain-LA¼st operator is given.\",\"PeriodicalId\":92219,\"journal\":{\"name\":\"International journal of big data\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of big data\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2020/6584805\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of big data","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2020/6584805","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Computing the q-Numerical Range of Differential Operators
A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of thez Hilbert space. In this paper, we establish an approximation of the - numerical range of bounded and unbounnded operator matrices by variational methods. Application to SchrA¶dinger operator, Stokes operator, and Hain-LA¼st operator is given.
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