{"title":"绝对Cesàro矩阵的特征值","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":"{\"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}","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}
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≤ ∞.
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