{"title":"巴拿赫晶格单元f数组中的自约化元素","authors":"Mohamed Ali Toumi","doi":"10.1007/s11117-024-01056-1","DOIUrl":null,"url":null,"abstract":"<p>We give a complete description of self-majorizing elements of a Banach lattice unital <i>f</i>-algebra. The idea comes from Luxemburg (Some Aspects of the Theory of Riesz Spaces, University of Arkansas Lecture Notes in Mathematics, 4, Fayetteville, Arkansas, (1979)).\n</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"43 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Self-majorizing elements in Banach lattice unital f-algebras\",\"authors\":\"Mohamed Ali Toumi\",\"doi\":\"10.1007/s11117-024-01056-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We give a complete description of self-majorizing elements of a Banach lattice unital <i>f</i>-algebra. The idea comes from Luxemburg (Some Aspects of the Theory of Riesz Spaces, University of Arkansas Lecture Notes in Mathematics, 4, Fayetteville, Arkansas, (1979)).\\n</p>\",\"PeriodicalId\":54596,\"journal\":{\"name\":\"Positivity\",\"volume\":\"43 1\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-05-30\",\"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/s11117-024-01056-1\",\"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/s11117-024-01056-1","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
我们给出了巴拿赫晶格单元 f 代数的自约化元素的完整描述。这个想法来自卢森堡（《里兹空间理论的一些方面》，阿肯色大学数学讲座笔记，4，阿肯色州费耶特维尔（1979 年））。
Self-majorizing elements in Banach lattice unital f-algebras
We give a complete description of self-majorizing elements of a Banach lattice unital f-algebra. The idea comes from Luxemburg (Some Aspects of the Theory of Riesz Spaces, University of Arkansas Lecture Notes in Mathematics, 4, Fayetteville, Arkansas, (1979)).
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
