{"title":"非交换fejsamr - riesz定理的构造证明","authors":"P. Arora","doi":"10.7153/oam-2023-17-11","DOIUrl":null,"url":null,"abstract":". In this paper, we present a constructive proof of Popescu’s Fej´er-Riesz theorem for noncommuting polynomials representing nonnegative “multi-Toeplitz” operators.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A constructive proof of a noncommutative Fejér-Riesz theorem\",\"authors\":\"P. Arora\",\"doi\":\"10.7153/oam-2023-17-11\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we present a constructive proof of Popescu’s Fej´er-Riesz theorem for noncommuting polynomials representing nonnegative “multi-Toeplitz” operators.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/oam-2023-17-11\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/oam-2023-17-11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A constructive proof of a noncommutative Fejér-Riesz theorem
. In this paper, we present a constructive proof of Popescu’s Fej´er-Riesz theorem for noncommuting polynomials representing nonnegative “multi-Toeplitz” operators.
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