{"title":"复对称Toeplitz算子的谱","authors":"Marcos S. Ferreira","doi":"10.7153/oam-2022-16-08","DOIUrl":null,"url":null,"abstract":"In this paper we focus on the spectrum of Toeplitz operators Tφ on the Hardy space H 2 of the unit disk D when φ is not continuous and especially when Tφ is a complex symmetric operator. Moreover, we show a necessary condition for Tφ to be complex symmetric, for φ belongs to subalgebra H∞ +C (T) of L∞ and we present a case of the continuity of the spectral function restricted to the space of Toeplitz operators.","PeriodicalId":56274,"journal":{"name":"Operators and Matrices","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the spectrum of complex symmetric Toeplitz operators\",\"authors\":\"Marcos S. Ferreira\",\"doi\":\"10.7153/oam-2022-16-08\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we focus on the spectrum of Toeplitz operators Tφ on the Hardy space H 2 of the unit disk D when φ is not continuous and especially when Tφ is a complex symmetric operator. Moreover, we show a necessary condition for Tφ to be complex symmetric, for φ belongs to subalgebra H∞ +C (T) of L∞ and we present a case of the continuity of the spectral function restricted to the space of Toeplitz operators.\",\"PeriodicalId\":56274,\"journal\":{\"name\":\"Operators and Matrices\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Operators and Matrices\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/oam-2022-16-08\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operators and Matrices","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/oam-2022-16-08","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the spectrum of complex symmetric Toeplitz operators
In this paper we focus on the spectrum of Toeplitz operators Tφ on the Hardy space H 2 of the unit disk D when φ is not continuous and especially when Tφ is a complex symmetric operator. Moreover, we show a necessary condition for Tφ to be complex symmetric, for φ belongs to subalgebra H∞ +C (T) of L∞ and we present a case of the continuity of the spectral function restricted to the space of Toeplitz operators.
期刊介绍：
''Operators and Matrices'' (''OaM'') aims towards developing a high standard international journal which will publish top quality research and expository papers in matrix and operator theory and their applications. The journal will publish mainly pure mathematics, but occasionally papers of a more applied nature could be accepted. ''OaM'' will also publish relevant book reviews.
''OaM'' is published quarterly, in March, June, September and December.
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