{"title":"赋范超商空间的补全","authors":"S. Roy","doi":"10.12816/0006174","DOIUrl":null,"url":null,"abstract":"In consonant with the prime object of this paper as to initiate the concept of hyperquotient structure, necessarily and essentially the notion of hyperquotient sets is the basic to begin with subsequently what comes as the formations of norm on this spaces with the assistance oered by the norm on hypervector spaces. In conclusion, an adequate condition for a normed hyperquotient space to be Banach space has been constituted by us.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"215 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Completion of Normed Hyperquotient Spaces\",\"authors\":\"S. Roy\",\"doi\":\"10.12816/0006174\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In consonant with the prime object of this paper as to initiate the concept of hyperquotient structure, necessarily and essentially the notion of hyperquotient sets is the basic to begin with subsequently what comes as the formations of norm on this spaces with the assistance oered by the norm on hypervector spaces. In conclusion, an adequate condition for a normed hyperquotient space to be Banach space has been constituted by us.\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":\"215 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0006174\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0006174","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In consonant with the prime object of this paper as to initiate the concept of hyperquotient structure, necessarily and essentially the notion of hyperquotient sets is the basic to begin with subsequently what comes as the formations of norm on this spaces with the assistance oered by the norm on hypervector spaces. In conclusion, an adequate condition for a normed hyperquotient space to be Banach space has been constituted by us.