{"title":"A Hilbert-space variant of Geršgorin's circle theorem","authors":"Marcus Carlsson, Olof Rubin","doi":"10.1002/mana.202300153","DOIUrl":null,"url":null,"abstract":"<p>We provide a variant of Geršgorin's circle theorem, where the <span></span><math>\n <semantics>\n <msup>\n <mi>ℓ</mi>\n <mn>1</mn>\n </msup>\n <annotation>$\\ell ^1$</annotation>\n </semantics></math>-estimates are swapped for <span></span><math>\n <semantics>\n <msup>\n <mi>ℓ</mi>\n <mn>2</mn>\n </msup>\n <annotation>$\\ell ^2$</annotation>\n </semantics></math>-estimates, more suitable for the infinite-dimensional Hilbert space setting.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.202300153","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202300153","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 provide a variant of Geršgorin's circle theorem, where the -estimates are swapped for -estimates, more suitable for the infinite-dimensional Hilbert space setting.