{"title":"Eigenvalues of absolute Cesàro matrices","authors":"I.J. Maddox","doi":"10.1016/S1385-7258(89)80029-0","DOIUrl":null,"url":null,"abstract":"<div><p>A complete description is given of the eigenvalues of the matrix <em>A</em> associated with absolute Cesàro summability of any positive order, where <em>A</em> is regarded as an operator on the Banach space <em>l<sub>p</sub></em>, with 1 ≤<em>p</em>≤ ∞.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 2","pages":"Pages 213-217"},"PeriodicalIF":0.0000,"publicationDate":"1989-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80029-0","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae (Proceedings)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1385725889800290","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A complete description is given of the eigenvalues of the matrix A associated with absolute Cesàro summability of any positive order, where A is regarded as an operator on the Banach space lp, with 1 ≤p≤ ∞.