通过摩尔-彭罗斯逆计算数值半径和规范界限

IF 0.7 4区 数学 Q2 MATHEMATICS Complex Analysis and Operator Theory Pub Date : 2024-06-21 DOI:10.1007/s11785-024-01560-y
Mohammad Sababheh, Dragan S. Djordjević, Hamid Reza Moradi
{"title":"通过摩尔-彭罗斯逆计算数值半径和规范界限","authors":"Mohammad Sababheh, Dragan S. Djordjević, Hamid Reza Moradi","doi":"10.1007/s11785-024-01560-y","DOIUrl":null,"url":null,"abstract":"<p>This paper presents some inner product inequalities for Hilbert space operators having closed ranges. The obtained results are applied to obtain new bounds for the numerical radius and the operator norm, where the Moore-Penrose inverse plays a keen role.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"6 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical Radius and Norm Bounds via the Moore-Penrose Inverse\",\"authors\":\"Mohammad Sababheh, Dragan S. Djordjević, Hamid Reza Moradi\",\"doi\":\"10.1007/s11785-024-01560-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper presents some inner product inequalities for Hilbert space operators having closed ranges. The obtained results are applied to obtain new bounds for the numerical radius and the operator norm, where the Moore-Penrose inverse plays a keen role.</p>\",\"PeriodicalId\":50654,\"journal\":{\"name\":\"Complex Analysis and Operator Theory\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Analysis and Operator Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11785-024-01560-y\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Analysis and Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01560-y","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

摘要

本文提出了具有封闭范围的希尔伯特空间算子的一些内积不等式。所获得的结果被用于获得数值半径和算子规范的新边界,其中摩尔-彭罗斯逆起着重要作用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Numerical Radius and Norm Bounds via the Moore-Penrose Inverse

This paper presents some inner product inequalities for Hilbert space operators having closed ranges. The obtained results are applied to obtain new bounds for the numerical radius and the operator norm, where the Moore-Penrose inverse plays a keen role.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
1.20
自引率
12.50%
发文量
107
审稿时长
3 months
期刊介绍: Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.
期刊最新文献
The Jacobi Operator on $$(-1,1)$$ and Its Various m-Functions The Powers of Regular Linear Relations Entire Symmetric Operators in de Branges–Pontryagin Spaces and a Truncated Matrix Moment Problem On Orthogonal Polynomials Related to Arithmetic and Harmonic Sequences A Jordan Curve Theorem on a 3D Ball Through Brownian Motion
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1