{"title":"无穷矩阵的Banach代数的范数控制反演","authors":"Qiquan Fang, C. Shin","doi":"10.5802/crmath.54","DOIUrl":null,"url":null,"abstract":"In this paper we provide a polynomial norm-controlled inversion of Baskakov–Gohberg–Sjöstrand Banach algebra in a Banach algebra B(`q ), 1 ≤ q ≤∞, which is not a symmetric ∗− Banach algebra. 2020 Mathematics Subject Classification. 47G10, 45P05, 47B38, 31B10, 46E30. Funding. The project is partially supported by NSF of China (Grant Nos. 11701513, 11771399,11571306) and the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2019R1F1A1051712). Manuscript received 13th March 2020, revised 10th April 2020 and 20th April 2020, accepted 20th April 2020.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Norm-Controlled Inversion of Banach algebras of infinite matrices\",\"authors\":\"Qiquan Fang, C. Shin\",\"doi\":\"10.5802/crmath.54\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we provide a polynomial norm-controlled inversion of Baskakov–Gohberg–Sjöstrand Banach algebra in a Banach algebra B(`q ), 1 ≤ q ≤∞, which is not a symmetric ∗− Banach algebra. 2020 Mathematics Subject Classification. 47G10, 45P05, 47B38, 31B10, 46E30. Funding. The project is partially supported by NSF of China (Grant Nos. 11701513, 11771399,11571306) and the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2019R1F1A1051712). Manuscript received 13th March 2020, revised 10th April 2020 and 20th April 2020, accepted 20th April 2020.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2020-07-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.5802/crmath.54\",\"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/10.5802/crmath.54","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Norm-Controlled Inversion of Banach algebras of infinite matrices
In this paper we provide a polynomial norm-controlled inversion of Baskakov–Gohberg–Sjöstrand Banach algebra in a Banach algebra B(`q ), 1 ≤ q ≤∞, which is not a symmetric ∗− Banach algebra. 2020 Mathematics Subject Classification. 47G10, 45P05, 47B38, 31B10, 46E30. Funding. The project is partially supported by NSF of China (Grant Nos. 11701513, 11771399,11571306) and the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2019R1F1A1051712). Manuscript received 13th March 2020, revised 10th April 2020 and 20th April 2020, accepted 20th April 2020.
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