Eva A. Gallardo-Gutiérrez, F. Javier González-Doña
{"title":"Local spectral theory for subordinated operators: The Cesàro operator and beyond","authors":"Eva A. Gallardo-Gutiérrez, F. Javier González-Doña","doi":"10.1112/jlms.70273","DOIUrl":null,"url":null,"abstract":"<p>We study local spectral properties for subordinated operators arising from <span></span><math>\n <semantics>\n <msub>\n <mi>C</mi>\n <mn>0</mn>\n </msub>\n <annotation>$C_0$</annotation>\n </semantics></math>-semigroups. Specifically, if <span></span><math>\n <semantics>\n <mrow>\n <mi>T</mi>\n <mo>=</mo>\n <msub>\n <mrow>\n <mo>(</mo>\n <msub>\n <mi>T</mi>\n <mi>t</mi>\n </msub>\n <mo>)</mo>\n </mrow>\n <mrow>\n <mi>t</mi>\n <mo>⩾</mo>\n <mn>0</mn>\n </mrow>\n </msub>\n </mrow>\n <annotation>$\\mathcal {T}=(T_t)_{t\\geqslant 0}$</annotation>\n </semantics></math> is a <span></span><math>\n <semantics>\n <msub>\n <mi>C</mi>\n <mn>0</mn>\n </msub>\n <annotation>$C_0$</annotation>\n </semantics></math>-semigroup acting boundedly on a complex Banach space and\n\n </p>","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"112 2","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.70273","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the London Mathematical Society-Second Series","FirstCategoryId":"100","ListUrlMain":"https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/jlms.70273","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We study local spectral properties for subordinated operators arising from -semigroups. Specifically, if is a -semigroup acting boundedly on a complex Banach space and
期刊介绍:
The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.