{"title":"共型和非线性绝对和映射","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":"{\"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}","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}
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.
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