{"title":"Eigen-vector Expansion Theorem of a Class of Operator Matrices","authors":"Y. Qiao","doi":"10.7498/aps.61.140205","DOIUrl":null,"url":null,"abstract":"An expansion theorem of a class of operator matrices is set up.The symplectic orthogonality of eigen-vectors is obtaind,and a necessary and sufficient condition for the completeness of the eigen-vector system is further given.As concrete applications,the obtained results are tested for differential equations.","PeriodicalId":16190,"journal":{"name":"Journal of Inner Mongolia University","volume":"58 2-3","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Inner Mongolia University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7498/aps.61.140205","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
An expansion theorem of a class of operator matrices is set up.The symplectic orthogonality of eigen-vectors is obtaind,and a necessary and sufficient condition for the completeness of the eigen-vector system is further given.As concrete applications,the obtained results are tested for differential equations.
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