{"title":"Kernels of paired operators and their adjoints","authors":"M. Cristina Câmara, Jonathan R. Partington","doi":"arxiv-2408.14120","DOIUrl":null,"url":null,"abstract":"We review the basic properties of paired operators and their adjoints, the\ntransposed paired operators, with particular reference to commutation\nrelations, and we study the properties of their kernels, bringing out their\nsimilarities and also, somewhat surprisingly, their stark differences. Various\nnotions expressing different invariance properties are also reviewed and we\nextend to paired operators some known invariance results.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.14120","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We review the basic properties of paired operators and their adjoints, the
transposed paired operators, with particular reference to commutation
relations, and we study the properties of their kernels, bringing out their
similarities and also, somewhat surprisingly, their stark differences. Various
notions expressing different invariance properties are also reviewed and we
extend to paired operators some known invariance results.
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
