第7章。不变子空间之间的角度

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2023-06-07 DOI:10.1090/spmj/1767

V. Vasyunin

{"title":"第7章。不变子空间之间的角度","authors":"V. Vasyunin","doi":"10.1090/spmj/1767","DOIUrl":null,"url":null,"abstract":"This paper is a chapter from the continuation of a survey by the author and N. K. Nikolski published in 1998. It contains two theorems describing when an invariant subspace has an invariant complement and when the angle between two given invariant subspaces is positive. The presentation involves the technique of the coordinate-free functional model.","PeriodicalId":51162,"journal":{"name":"St Petersburg Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Chapter 7. Angles between invariant subspaces\",\"authors\":\"V. Vasyunin\",\"doi\":\"10.1090/spmj/1767\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is a chapter from the continuation of a survey by the author and N. K. Nikolski published in 1998. It contains two theorems describing when an invariant subspace has an invariant complement and when the angle between two given invariant subspaces is positive. The presentation involves the technique of the coordinate-free functional model.\",\"PeriodicalId\":51162,\"journal\":{\"name\":\"St Petersburg Mathematical Journal\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"St Petersburg Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1090/spmj/1767\",\"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":"St Petersburg Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1090/spmj/1767","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

本文是作者和N.K.Nikolski于1998年发表的一项调查的续篇。它包含两个定理，描述当不变子空间具有不变补时和当两个给定不变子空间之间的角度为正时。该演示涉及无坐标函数模型的技术。

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

Chapter 7. Angles between invariant subspaces

This paper is a chapter from the continuation of a survey by the author and N. K. Nikolski published in 1998. It contains two theorems describing when an invariant subspace has an invariant complement and when the angle between two given invariant subspaces is positive. The presentation involves the technique of the coordinate-free functional model.

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

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.