{"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":null,"pages":null},"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}
引用次数: 0
Abstract
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.
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