{"title":"希尔伯特空间上非线性算子方程XAX = BX的解集","authors":"Hua Wang, Jingsong Wu","doi":"10.2989/16073606.2023.2274586","DOIUrl":null,"url":null,"abstract":"We present the representation of solution sets of the operator equation XAX = BX on Hilbert spaces by taking advantage of the invariant subspace of B, including solution sets of nonzero solutions, ...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"10 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The solution set to the nonlinear operator equation XAX = BX on Hilbert spaces\",\"authors\":\"Hua Wang, Jingsong Wu\",\"doi\":\"10.2989/16073606.2023.2274586\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present the representation of solution sets of the operator equation XAX = BX on Hilbert spaces by taking advantage of the invariant subspace of B, including solution sets of nonzero solutions, ...\",\"PeriodicalId\":49652,\"journal\":{\"name\":\"Quaestiones Mathematicae\",\"volume\":\"10 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-11-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quaestiones Mathematicae\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2989/16073606.2023.2274586\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quaestiones Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2989/16073606.2023.2274586","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
The solution set to the nonlinear operator equation XAX = BX on Hilbert spaces
We present the representation of solution sets of the operator equation XAX = BX on Hilbert spaces by taking advantage of the invariant subspace of B, including solution sets of nonzero solutions, ...
期刊介绍：
Quaestiones Mathematicae is devoted to research articles from a wide range of mathematical areas. Longer expository papers of exceptional quality are also considered. Published in English, the journal receives contributions from authors around the globe and serves as an important reference source for anyone interested in mathematics.
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