{"title":"对一类m基的密度进行排序","authors":"A. Pyshkin","doi":"10.7900/jot.2020nov17.2322","DOIUrl":null,"url":null,"abstract":"In 1990s several papers studied a strong tridiagonal M-basis that did not possess rank one density property. We offer a new method for the study of more generic finite-band M-bases, employing a graph theory framework. We determine the necessary and sufficient conditions for rank one density property in this class of M-bases. Also we give some sufficient conditions concerning k point density property.","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rank one density for a class of M-bases\",\"authors\":\"A. Pyshkin\",\"doi\":\"10.7900/jot.2020nov17.2322\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In 1990s several papers studied a strong tridiagonal M-basis that did not possess rank one density property. We offer a new method for the study of more generic finite-band M-bases, employing a graph theory framework. We determine the necessary and sufficient conditions for rank one density property in this class of M-bases. Also we give some sufficient conditions concerning k point density property.\",\"PeriodicalId\":50104,\"journal\":{\"name\":\"Journal of Operator Theory\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2022-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Operator Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7900/jot.2020nov17.2322\",\"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":"Journal of Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7900/jot.2020nov17.2322","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
In 1990s several papers studied a strong tridiagonal M-basis that did not possess rank one density property. We offer a new method for the study of more generic finite-band M-bases, employing a graph theory framework. We determine the necessary and sufficient conditions for rank one density property in this class of M-bases. Also we give some sufficient conditions concerning k point density property.
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The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.
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