Local spectral theory for subordinated operators: The Cesàro operator and beyond

IF 1.2 2区 数学 Q1 MATHEMATICS
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,&nbsp;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 C 0 $C_0$ -semigroups. Specifically, if T = ( T t ) t 0 $\mathcal {T}=(T_t)_{t\geqslant 0}$ is a C 0 $C_0$ -semigroup acting boundedly on a complex Banach space and

Abstract Image

Abstract Image

从属算子的局部谱理论:Cesàro算子及以后
研究了c0 $C_0$ -半群中从属算子的局域谱性质。具体来说,如果T = (T T) T小于0$\mathcal {T}=(T_t)_{t\geqslant 0}$是有界作用于复Banach空间上的c0 $C_0$ -半群
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
CiteScore
1.90
自引率
0.00%
发文量
186
审稿时长
6-12 weeks
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信