REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES最新文献

筛选
英文 中文
ON THE JORDAN STRUCTURE OF HOLOMORPHIC MATRICES 关于全纯矩阵的Jordan结构
IF 0.3
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2017-03-28 DOI: 10.59277/rrmpa.2023.115.139
J. Leiterer
{"title":"ON THE JORDAN STRUCTURE OF HOLOMORPHIC MATRICES","authors":"J. Leiterer","doi":"10.59277/rrmpa.2023.115.139","DOIUrl":"https://doi.org/10.59277/rrmpa.2023.115.139","url":null,"abstract":"Let X ⊂ CN be open, and let A be an n × n matrix of holomorphic functions on X. We call a point ξ ∈ X Jordan stable for A if ξ is not a splitting point of the eigenvalues of A and, moreover, there is a neighborhood U of ξ such that, for each 1 ≤ k ≤ n, the number of Jordan blocks of size k in the Jordan normal forms of A(ζ) is the same for all ζ ∈ U. H. Baumg¨artel [4, S 3.4] proved that there is a nowhere dense closed analytic subset of X, which contains the set of all non-Jordan stable points. We give a new proof of this result. This proof shows that the set of non-Jordan stable points ist not only contained in a nowhere dense closed analytic subset, but it is itself such a set, and can be defined by holomorphic functions, the growth of which is bounded by some power (depending only on n) of the growth of A. Also, this proof applies to arbitrary (possibly non-smooth) reduced complex spaces X.","PeriodicalId":45738,"journal":{"name":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","volume":"56 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2017-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86109871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
0
×
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×
相关产品
×
本文献相关产品
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:481959085
Book学术官方微信