{"title":"希尔伯特空间上内积型积分变换器的数值范围","authors":"Priscah Moraa, D. Ambogo, F. Nyamwala","doi":"10.56947/amcs.v19.212","DOIUrl":null,"url":null,"abstract":"In this paper we compute the algebraic numerical range for inner product type integral transformers and show that the basic properties of the algeraic numerical range holds for this operator.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"67 4","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical range of inner product type integral transformers on Hilbert spaces\",\"authors\":\"Priscah Moraa, D. Ambogo, F. Nyamwala\",\"doi\":\"10.56947/amcs.v19.212\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we compute the algebraic numerical range for inner product type integral transformers and show that the basic properties of the algeraic numerical range holds for this operator.\",\"PeriodicalId\":504658,\"journal\":{\"name\":\"Annals of Mathematics and Computer Science\",\"volume\":\"67 4\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Mathematics and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/amcs.v19.212\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/amcs.v19.212","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical range of inner product type integral transformers on Hilbert spaces
In this paper we compute the algebraic numerical range for inner product type integral transformers and show that the basic properties of the algeraic numerical range holds for this operator.