{"title":"Hilbert空间上线性算子的谱和拓扑性质","authors":"Salah Mecheri, Aissa Nasli Bakir","doi":"10.55730/1300-0098.3426","DOIUrl":null,"url":null,"abstract":": We introduce the class of ( M, k ) -quasi- ∗ -paranormal operators on a Hilbert space H . This class extends the classes of ∗ -paranormal and k -quasi- ∗ -paranormal operators. An operator T on a complex Hilbert space is called ( M, k ) -quasi- ∗ -paranormal if there exists M > 0 such that","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spectral and topological properties of linear operators on a Hilbert space\",\"authors\":\"Salah Mecheri, Aissa Nasli Bakir\",\"doi\":\"10.55730/1300-0098.3426\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": We introduce the class of ( M, k ) -quasi- ∗ -paranormal operators on a Hilbert space H . This class extends the classes of ∗ -paranormal and k -quasi- ∗ -paranormal operators. An operator T on a complex Hilbert space is called ( M, k ) -quasi- ∗ -paranormal if there exists M > 0 such that\",\"PeriodicalId\":51206,\"journal\":{\"name\":\"Turkish Journal of Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Turkish Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.55730/1300-0098.3426\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Turkish Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.55730/1300-0098.3426","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Spectral and topological properties of linear operators on a Hilbert space
: We introduce the class of ( M, k ) -quasi- ∗ -paranormal operators on a Hilbert space H . This class extends the classes of ∗ -paranormal and k -quasi- ∗ -paranormal operators. An operator T on a complex Hilbert space is called ( M, k ) -quasi- ∗ -paranormal if there exists M > 0 such that
期刊介绍:
The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research
Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics.
Contribution is open to researchers of all nationalities.