{"title":"米尔曼问题强化的反例","authors":"T. Gowers, K. Wyczesany","doi":"10.5802/ahl.168","DOIUrl":null,"url":null,"abstract":". — Let | · | be the standard Euclidean norm on R n and let X = ( R n , ∥ · ∥ ) be a normed space. A subspace Y ⊂ X is strongly α -Euclidean if there is a constant t such that t | y | ⩽ ∥ y ∥ ⩽ αt | y | for every y ∈ Y","PeriodicalId":192307,"journal":{"name":"Annales Henri Lebesgue","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A counterexample to a strengthening of a question of V. D. Milman\",\"authors\":\"T. Gowers, K. Wyczesany\",\"doi\":\"10.5802/ahl.168\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". — Let | · | be the standard Euclidean norm on R n and let X = ( R n , ∥ · ∥ ) be a normed space. A subspace Y ⊂ X is strongly α -Euclidean if there is a constant t such that t | y | ⩽ ∥ y ∥ ⩽ αt | y | for every y ∈ Y\",\"PeriodicalId\":192307,\"journal\":{\"name\":\"Annales Henri Lebesgue\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Henri Lebesgue\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5802/ahl.168\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Henri Lebesgue","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/ahl.168","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A counterexample to a strengthening of a question of V. D. Milman
. — Let | · | be the standard Euclidean norm on R n and let X = ( R n , ∥ · ∥ ) be a normed space. A subspace Y ⊂ X is strongly α -Euclidean if there is a constant t such that t | y | ⩽ ∥ y ∥ ⩽ αt | y | for every y ∈ Y