{"title":"论子空间之间主角的平滑性及其在动力系统角值中的应用","authors":"Wolf-Jürgen Beyn, Thorsten Hüls","doi":"10.1080/14689367.2024.2322156","DOIUrl":null,"url":null,"abstract":"In this work we provide detailed estimates of maximal principal angles between subspaces and we analyse their smoothness for smoothly varying subspaces. This leads to a new definition of angular va...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"250 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the smoothness of principal angles between subspaces and their application to angular values of dynamical systems\",\"authors\":\"Wolf-Jürgen Beyn, Thorsten Hüls\",\"doi\":\"10.1080/14689367.2024.2322156\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work we provide detailed estimates of maximal principal angles between subspaces and we analyse their smoothness for smoothly varying subspaces. This leads to a new definition of angular va...\",\"PeriodicalId\":501586,\"journal\":{\"name\":\"Dynamical Systems\",\"volume\":\"250 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Dynamical Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/14689367.2024.2322156\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dynamical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/14689367.2024.2322156","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the smoothness of principal angles between subspaces and their application to angular values of dynamical systems
In this work we provide detailed estimates of maximal principal angles between subspaces and we analyse their smoothness for smoothly varying subspaces. This leads to a new definition of angular va...
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