不定内积空间上可伴算子的加权摩尔-彭罗斯逆

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/JKMS.J190306

Mengjie Qin, Qingxiang Xu, Ali Zamani

{"title":"不定内积空间上可伴算子的加权摩尔-彭罗斯逆","authors":"Mengjie Qin, Qingxiang Xu, Ali Zamani","doi":"10.4134/JKMS.J190306","DOIUrl":null,"url":null,"abstract":". Necessary and suﬃcient conditions are provided under which the weighted Moore–Penrose inverse A † MN exists, where A is an ad- jointable operator between Hilbert C ∗ -modules, and the weights M and N are only self-adjoint and invertible. Relationship between weighted Moore–Penrose inverses A † MN is clariﬁed when A is ﬁxed, whereas M and N are variable. Perturbation analysis for the weighted Moore–Penrose inverse is also provided.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"57 1","pages":"691-706"},"PeriodicalIF":0.7000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"WEIGHTED MOORE-PENROSE INVERSES OF ADJOINTABLE OPERATORS ON INDEFINITE INNER-PRODUCT SPACES\",\"authors\":\"Mengjie Qin, Qingxiang Xu, Ali Zamani\",\"doi\":\"10.4134/JKMS.J190306\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Necessary and suﬃcient conditions are provided under which the weighted Moore–Penrose inverse A † MN exists, where A is an ad- jointable operator between Hilbert C ∗ -modules, and the weights M and N are only self-adjoint and invertible. Relationship between weighted Moore–Penrose inverses A † MN is clariﬁed when A is ﬁxed, whereas M and N are variable. Perturbation analysis for the weighted Moore–Penrose inverse is also provided.\",\"PeriodicalId\":49993,\"journal\":{\"name\":\"Journal of the Korean Mathematical Society\",\"volume\":\"57 1\",\"pages\":\"691-706\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Korean Mathematical Society\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4134/JKMS.J190306\",\"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":"Journal of the Korean Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4134/JKMS.J190306","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: 3

摘要

．给出了加权Moore-Penrose逆A†MN存在的充分必要条件，其中A是Hilbert C * -模之间的可合算子，且权M和权N仅自伴且可逆。当A固定时，明确了加权Moore-Penrose逆A†MN之间的关系，而M和N是可变的。给出了加权Moore-Penrose逆的摄动分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

WEIGHTED MOORE-PENROSE INVERSES OF ADJOINTABLE OPERATORS ON INDEFINITE INNER-PRODUCT SPACES

. Necessary and suﬃcient conditions are provided under which the weighted Moore–Penrose inverse A † MN exists, where A is an ad- jointable operator between Hilbert C ∗ -modules, and the weights M and N are only self-adjoint and invertible. Relationship between weighted Moore–Penrose inverses A † MN is clariﬁed when A is ﬁxed, whereas M and N are variable. Perturbation analysis for the weighted Moore–Penrose inverse is also provided.

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

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).