{"title":"矢量值丹尼尔积分的富比尼定理","authors":"Jacobus J. Grobler","doi":"10.2989/16073606.2024.2322684","DOIUrl":null,"url":null,"abstract":"We define the product integral for two Riesz space-valued Daniell integrals and prove Fubini’s theorem establishing the relation between product integrals and iterated integrals. The properties of ...","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fubini’s theorem for a vector-valued Daniell integral\",\"authors\":\"Jacobus J. Grobler\",\"doi\":\"10.2989/16073606.2024.2322684\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We define the product integral for two Riesz space-valued Daniell integrals and prove Fubini’s theorem establishing the relation between product integrals and iterated integrals. The properties of ...\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2989/16073606.2024.2322684\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2989/16073606.2024.2322684","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fubini’s theorem for a vector-valued Daniell integral
We define the product integral for two Riesz space-valued Daniell integrals and prove Fubini’s theorem establishing the relation between product integrals and iterated integrals. The properties of ...