{"title":"关于形式为𝐿￣𝑝₀(𝐾(𝐾))的Banach空间的几何","authors":"Leandro Candido, P. Kaufmann","doi":"10.1090/proc/15420","DOIUrl":null,"url":null,"abstract":"We investigate the problem of classifying the Banach spaces $\\mathrm{Lip}_0(C(K))$ for Hausdorff compacta $K$. In particular, sufficient conditions are established for a space $\\mathrm{Lip}_0(C(K))$ to be isomorphic to $\\mathrm{Lip}_0(c_0(\\varGamma))$ for some uncountable set $\\varGamma$.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"On the geometry of Banach spaces of the form 𝐿𝑖𝑝₀(𝐶(𝐾))\",\"authors\":\"Leandro Candido, P. Kaufmann\",\"doi\":\"10.1090/proc/15420\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate the problem of classifying the Banach spaces $\\\\mathrm{Lip}_0(C(K))$ for Hausdorff compacta $K$. In particular, sufficient conditions are established for a space $\\\\mathrm{Lip}_0(C(K))$ to be isomorphic to $\\\\mathrm{Lip}_0(c_0(\\\\varGamma))$ for some uncountable set $\\\\varGamma$.\",\"PeriodicalId\":8426,\"journal\":{\"name\":\"arXiv: Functional Analysis\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-10-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Functional Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/proc/15420\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/proc/15420","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the geometry of Banach spaces of the form 𝐿𝑖𝑝₀(𝐶(𝐾))
We investigate the problem of classifying the Banach spaces $\mathrm{Lip}_0(C(K))$ for Hausdorff compacta $K$. In particular, sufficient conditions are established for a space $\mathrm{Lip}_0(C(K))$ to be isomorphic to $\mathrm{Lip}_0(c_0(\varGamma))$ for some uncountable set $\varGamma$.
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