{"title":"希尔伯特空间的正算子系","authors":"Mohamed Rossafi, Y. Aribou","doi":"10.32817/ams.2.4","DOIUrl":null,"url":null,"abstract":"Motived by the characterization of the positive elements in a C ∗–algebra and the decomposition of an operator into a sum of orthogonal projections, we introduce the notions of positive operator and K-operator frame for B(H). Also, we give some properties.","PeriodicalId":309225,"journal":{"name":"Acta mathematica Spalatensia","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Positive Operator Frame for Hilbert spaces\",\"authors\":\"Mohamed Rossafi, Y. Aribou\",\"doi\":\"10.32817/ams.2.4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Motived by the characterization of the positive elements in a C ∗–algebra and the decomposition of an operator into a sum of orthogonal projections, we introduce the notions of positive operator and K-operator frame for B(H). Also, we give some properties.\",\"PeriodicalId\":309225,\"journal\":{\"name\":\"Acta mathematica Spalatensia\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta mathematica Spalatensia\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32817/ams.2.4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta mathematica Spalatensia","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32817/ams.2.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Motived by the characterization of the positive elements in a C ∗–algebra and the decomposition of an operator into a sum of orthogonal projections, we introduce the notions of positive operator and K-operator frame for B(H). Also, we give some properties.
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