{"title":"Upper semi-Fredholm property of operators and their modulus on Banach lattices","authors":"Redouane Nouira, Othman Aboutafail, Youssef Ezzaki","doi":"10.1007/s11117-024-01075-y","DOIUrl":null,"url":null,"abstract":"<p>In the present manuscript, we present examples of regular upper semi-Fredholm (resp. non upper semi-Fredholm) operators on Banach lattices having non upper semi-Fredholm (resp. upper semi-Fredholm) modulus. We give also an example of a regular upper semi-Fredholm operator on Banach lattices with no modulus.\n</p>","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"30 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-08-20","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/s11117-024-01075-y","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
In the present manuscript, we present examples of regular upper semi-Fredholm (resp. non upper semi-Fredholm) operators on Banach lattices having non upper semi-Fredholm (resp. upper semi-Fredholm) modulus. We give also an example of a regular upper semi-Fredholm operator on Banach lattices with no modulus.
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.