{"title":"pn空间中的强紧算子","authors":"Delavar Varasteh Tafti, Mahdi Azhini","doi":"10.1016/j.trmi.2018.06.001","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we first introduce strong compact operators in PN-spaces and then we prove some of their properties. After that we prove the Ascoli–Arzela’s theorem in SPN spaces. In addition some of its known consequences such as Schauder’s theorem and strong Banach closed rang theorem in SPN spaces are presented.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.06.001","citationCount":"0","resultStr":"{\"title\":\"Strong compact operators in PN-spaces\",\"authors\":\"Delavar Varasteh Tafti, Mahdi Azhini\",\"doi\":\"10.1016/j.trmi.2018.06.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we first introduce strong compact operators in PN-spaces and then we prove some of their properties. After that we prove the Ascoli–Arzela’s theorem in SPN spaces. In addition some of its known consequences such as Schauder’s theorem and strong Banach closed rang theorem in SPN spaces are presented.</p></div>\",\"PeriodicalId\":43623,\"journal\":{\"name\":\"Transactions of A Razmadze Mathematical Institute\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.trmi.2018.06.001\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions of A Razmadze Mathematical Institute\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S234680921730168X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of A Razmadze Mathematical Institute","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S234680921730168X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this paper, we first introduce strong compact operators in PN-spaces and then we prove some of their properties. After that we prove the Ascoli–Arzela’s theorem in SPN spaces. In addition some of its known consequences such as Schauder’s theorem and strong Banach closed rang theorem in SPN spaces are presented.
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