{"title":"球和凸集上的投影","authors":"K. Goebel, S. Prus","doi":"10.1093/OSO/9780198827351.003.0006","DOIUrl":null,"url":null,"abstract":"Radial projection on the unit ball and its Lipschitz constant are discussed. Special attention is paid to nonexpansive projections on balls and other sets. The cases of Hilbert spaces and spaces with uniform norm are studied in more detail.","PeriodicalId":417325,"journal":{"name":"Elements of Geometry of Balls in Banach Spaces","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Projections on balls and convex sets\",\"authors\":\"K. Goebel, S. Prus\",\"doi\":\"10.1093/OSO/9780198827351.003.0006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Radial projection on the unit ball and its Lipschitz constant are discussed. Special attention is paid to nonexpansive projections on balls and other sets. The cases of Hilbert spaces and spaces with uniform norm are studied in more detail.\",\"PeriodicalId\":417325,\"journal\":{\"name\":\"Elements of Geometry of Balls in Banach Spaces\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Elements of Geometry of Balls in Banach Spaces\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/OSO/9780198827351.003.0006\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Elements of Geometry of Balls in Banach Spaces","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/OSO/9780198827351.003.0006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Radial projection on the unit ball and its Lipschitz constant are discussed. Special attention is paid to nonexpansive projections on balls and other sets. The cases of Hilbert spaces and spaces with uniform norm are studied in more detail.
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