{"title":"具有Schauder基的非阿基米德局部凸空间的紧性","authors":"C. Pérez-Garcia","doi":"10.1016/1385-7258(88)90009-1","DOIUrl":null,"url":null,"abstract":"<div><p>Several properties of compactoid sets in non-archimedean locally convex spaces with a Schauder basis are proved in this paper. As a consequence we derive partial affirmative answers to the questions formulated by Gruson and Van der Put ([4], problem following 5.8) and Schikhof ([6], problem following 1.7), respectively.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 1","pages":"Pages 85-88"},"PeriodicalIF":0.0000,"publicationDate":"1988-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(88)90009-1","citationCount":"2","resultStr":"{\"title\":\"On compactoidity in non-archimedean locally convex spaces with a Schauder basis\",\"authors\":\"C. Pérez-Garcia\",\"doi\":\"10.1016/1385-7258(88)90009-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Several properties of compactoid sets in non-archimedean locally convex spaces with a Schauder basis are proved in this paper. As a consequence we derive partial affirmative answers to the questions formulated by Gruson and Van der Put ([4], problem following 5.8) and Schikhof ([6], problem following 1.7), respectively.</p></div>\",\"PeriodicalId\":100664,\"journal\":{\"name\":\"Indagationes Mathematicae (Proceedings)\",\"volume\":\"91 1\",\"pages\":\"Pages 85-88\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/1385-7258(88)90009-1\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indagationes Mathematicae (Proceedings)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/1385725888900091\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae (Proceedings)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/1385725888900091","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On compactoidity in non-archimedean locally convex spaces with a Schauder basis
Several properties of compactoid sets in non-archimedean locally convex spaces with a Schauder basis are proved in this paper. As a consequence we derive partial affirmative answers to the questions formulated by Gruson and Van der Put ([4], problem following 5.8) and Schikhof ([6], problem following 1.7), respectively.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
