{"title":"COTYPE AND NONLINEAR ABSOLUTELY SUMMING MAPPINGS","authors":"D. Pellegrino","doi":"10.3318/PRIA.2005.105.1.75","DOIUrl":null,"url":null,"abstract":"In this paper we study absolutely summing mappings on Banach spaces by exploring the cotype of their domains and ranges. We give new examples of absolutely summing analytic mappings and polynomial/multilinear versions of linear coincidence theorems.","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Proceedings of the Royal Irish Academy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3318/PRIA.2005.105.1.75","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 15
Abstract
In this paper we study absolutely summing mappings on Banach spaces by exploring the cotype of their domains and ranges. We give new examples of absolutely summing analytic mappings and polynomial/multilinear versions of linear coincidence theorems.