{"title":"雷利算子：关于广义塞萨罗算子的更多信息","authors":"Eva A. Gallardo-Gutiérrez, Jonathan R. Partington","doi":"arxiv-2408.03182","DOIUrl":null,"url":null,"abstract":"Rhaly operators, as generalizations of the Ces\\`aro operator, are studied\nfrom the standpoint of view of spectral theory and invariant subspaces,\nextending previous results by Rhaly and Leibowitz to a framework where\ngeneralized Ces\\`aro operators arise naturally.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"25 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rhaly operators: more on generalized Cesàro operators\",\"authors\":\"Eva A. Gallardo-Gutiérrez, Jonathan R. Partington\",\"doi\":\"arxiv-2408.03182\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Rhaly operators, as generalizations of the Ces\\\\`aro operator, are studied\\nfrom the standpoint of view of spectral theory and invariant subspaces,\\nextending previous results by Rhaly and Leibowitz to a framework where\\ngeneralized Ces\\\\`aro operators arise naturally.\",\"PeriodicalId\":501036,\"journal\":{\"name\":\"arXiv - MATH - Functional Analysis\",\"volume\":\"25 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-06\",\"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-2408.03182\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.03182","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Rhaly operators: more on generalized Cesàro operators
Rhaly operators, as generalizations of the Ces\`aro operator, are studied
from the standpoint of view of spectral theory and invariant subspaces,
extending previous results by Rhaly and Leibowitz to a framework where
generalized Ces\`aro operators arise naturally.
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