{"title":"n阶的拟正规算子","authors":"Laith K. Shaakir, Saad S. Marai","doi":"10.25130/tjps.v20i4.1231","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce a new class of operators acting on a complex Hilbert space H which is called quasi-normal operator of order n. An operator T∈B(H) is called quasi-normal operator of order n if T(T*n Tn)=(T*n Tn)T, where n is positive integer number greater than 1 and T* is the adjoint of the operator T, We investigate some basic properties of such operators and study relations among quasi-normal operator of order n and some other operators.","PeriodicalId":23142,"journal":{"name":"Tikrit Journal of Pure Science","volume":"161 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"quasi-normal Operator of order n\",\"authors\":\"Laith K. Shaakir, Saad S. Marai\",\"doi\":\"10.25130/tjps.v20i4.1231\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce a new class of operators acting on a complex Hilbert space H which is called quasi-normal operator of order n. An operator T∈B(H) is called quasi-normal operator of order n if T(T*n Tn)=(T*n Tn)T, where n is positive integer number greater than 1 and T* is the adjoint of the operator T, We investigate some basic properties of such operators and study relations among quasi-normal operator of order n and some other operators.\",\"PeriodicalId\":23142,\"journal\":{\"name\":\"Tikrit Journal of Pure Science\",\"volume\":\"161 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-02-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tikrit Journal of Pure Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.25130/tjps.v20i4.1231\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tikrit Journal of Pure Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.25130/tjps.v20i4.1231","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we introduce a new class of operators acting on a complex Hilbert space H which is called quasi-normal operator of order n. An operator T∈B(H) is called quasi-normal operator of order n if T(T*n Tn)=(T*n Tn)T, where n is positive integer number greater than 1 and T* is the adjoint of the operator T, We investigate some basic properties of such operators and study relations among quasi-normal operator of order n and some other operators.
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