{"title":"H∞电晕中的细序列","authors":"D. Stankov, Tzonio G. Tzonev","doi":"10.2478/s11533-013-0281-1","DOIUrl":null,"url":null,"abstract":"In this paper we consider several conditions for sequences of points in M(H∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona $$M(H^\\infty )\\backslash \\mathbb{D}$$ of H∞ is a thin sequence for H∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H∞ necessarily satisfy the same condition.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"25 1","pages":"1843-1849"},"PeriodicalIF":0.0000,"publicationDate":"2013-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Thin sequences in the corona of H∞\",\"authors\":\"D. Stankov, Tzonio G. Tzonev\",\"doi\":\"10.2478/s11533-013-0281-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we consider several conditions for sequences of points in M(H∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona $$M(H^\\\\infty )\\\\backslash \\\\mathbb{D}$$ of H∞ is a thin sequence for H∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H∞ necessarily satisfy the same condition.\",\"PeriodicalId\":50988,\"journal\":{\"name\":\"Central European Journal of Mathematics\",\"volume\":\"25 1\",\"pages\":\"1843-1849\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Central European Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/s11533-013-0281-1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/s11533-013-0281-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we consider several conditions for sequences of points in M(H∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona $$M(H^\infty )\backslash \mathbb{D}$$ of H∞ is a thin sequence for H∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H∞ necessarily satisfy the same condition.