{"title":"关于理想$$E^{a}$$的规范有界集","authors":"","doi":"10.1007/s11117-024-01036-5","DOIUrl":null,"url":null,"abstract":"<h3>Abstract</h3> <p>The paper is devoted to study the norm bounded subsets which are contained in <span> <span>\\(E^{a}\\)</span> </span>. Also, we introduce and study the class of the bounded-<span> <span>\\(E^a\\)</span> </span> operators, which maps the closed unit ball of a Banach space to a subset of <span> <span>\\(E^{a}\\)</span> </span>. Some interesting results about this class of operators are presented.</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the norm bounded sets of the ideal $$E^{a}$$\",\"authors\":\"\",\"doi\":\"10.1007/s11117-024-01036-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3>Abstract</h3> <p>The paper is devoted to study the norm bounded subsets which are contained in <span> <span>\\\\(E^{a}\\\\)</span> </span>. Also, we introduce and study the class of the bounded-<span> <span>\\\\(E^a\\\\)</span> </span> operators, which maps the closed unit ball of a Banach space to a subset of <span> <span>\\\\(E^{a}\\\\)</span> </span>. Some interesting results about this class of operators are presented.</p>\",\"PeriodicalId\":54596,\"journal\":{\"name\":\"Positivity\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-03-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Positivity\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11117-024-01036-5\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Positivity","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11117-024-01036-5","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
The paper is devoted to study the norm bounded subsets which are contained in \(E^{a}\). Also, we introduce and study the class of the bounded-\(E^a\) operators, which maps the closed unit ball of a Banach space to a subset of \(E^{a}\). Some interesting results about this class of operators are presented.
期刊介绍：
The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome.
The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.
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