{"title":"无条件基下G.T. Banach空间上的举升","authors":"Jeongheung Kang","doi":"10.12988/IJMA.2016.6339","DOIUrl":null,"url":null,"abstract":"In this article, we show that every operator defined on the G.T. Banach space with an unconditional basis is liftable. So a G.T. Banach space with an unconditional basis is isomorphic to `1(Γ) for some index set Γ which was characterized by Lindenstrauss and Pelzýnski in 1968. Mathematics Subject Classification: 46B03","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"100 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Lifting on G.T. Banach spaces with unconditional basis\",\"authors\":\"Jeongheung Kang\",\"doi\":\"10.12988/IJMA.2016.6339\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we show that every operator defined on the G.T. Banach space with an unconditional basis is liftable. So a G.T. Banach space with an unconditional basis is isomorphic to `1(Γ) for some index set Γ which was characterized by Lindenstrauss and Pelzýnski in 1968. Mathematics Subject Classification: 46B03\",\"PeriodicalId\":431531,\"journal\":{\"name\":\"International Journal of Mathematical Analysis\",\"volume\":\"100 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/IJMA.2016.6339\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/IJMA.2016.6339","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Lifting on G.T. Banach spaces with unconditional basis
In this article, we show that every operator defined on the G.T. Banach space with an unconditional basis is liftable. So a G.T. Banach space with an unconditional basis is isomorphic to `1(Γ) for some index set Γ which was characterized by Lindenstrauss and Pelzýnski in 1968. Mathematics Subject Classification: 46B03
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