{"title":"Hardy空间2核张量积上的Toeplitz类算子","authors":"A. Shatarah","doi":"10.37394/23206.2021.20.26","DOIUrl":null,"url":null,"abstract":"in this paper, we investigated Toeplitz like operators on vector valued Hardy spaces. Toeplitz like operators on 2-nuclear tensor product of Hardy spaces are then constructed and described using the theory of p-nuclear tensor product of Banach spaces, and their basic algebraic properties and spectrum are analyzed. Key-Words: Toeplitz like operators , 2-nuclear tensor product of hardy spaces. Received: January 26, 2021. Revised: May 6, 2021. Accepted: May 14, 2021. Published: May 20, 2021.","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Toeplitz Like Operators on 2-nuclear Tensor Product of Hardy Spaces\",\"authors\":\"A. Shatarah\",\"doi\":\"10.37394/23206.2021.20.26\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"in this paper, we investigated Toeplitz like operators on vector valued Hardy spaces. Toeplitz like operators on 2-nuclear tensor product of Hardy spaces are then constructed and described using the theory of p-nuclear tensor product of Banach spaces, and their basic algebraic properties and spectrum are analyzed. Key-Words: Toeplitz like operators , 2-nuclear tensor product of hardy spaces. Received: January 26, 2021. Revised: May 6, 2021. Accepted: May 14, 2021. Published: May 20, 2021.\",\"PeriodicalId\":112268,\"journal\":{\"name\":\"WSEAS Transactions on Mathematics archive\",\"volume\":\"68 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-05-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"WSEAS Transactions on Mathematics archive\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/23206.2021.20.26\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Mathematics archive","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23206.2021.20.26","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Toeplitz Like Operators on 2-nuclear Tensor Product of Hardy Spaces
in this paper, we investigated Toeplitz like operators on vector valued Hardy spaces. Toeplitz like operators on 2-nuclear tensor product of Hardy spaces are then constructed and described using the theory of p-nuclear tensor product of Banach spaces, and their basic algebraic properties and spectrum are analyzed. Key-Words: Toeplitz like operators , 2-nuclear tensor product of hardy spaces. Received: January 26, 2021. Revised: May 6, 2021. Accepted: May 14, 2021. Published: May 20, 2021.
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