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Γ-inverses of Bounded Linear Operators

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摘要 LetB(H)bethealgebraofalltheboundedlinearoperatorsonaHilbertspaceH.ForA,PandQinB(H),ifthereexistsanoperatorX∈B(H)suchthatAPXQA=A,XQAPX=X,(QAPX)*=QAPXand(XQAP)*=XQAP,thenXissaidtobetheΓ-inverseofAassociatedwithPandQ,anddenotedbyAP,Q+.Inthisnote,wepresentsomenecessaryandsu?cientconditionsforwhichA+P,Qexists,andgiveanexplicitrepresentationofAP,Q+(ifAP,Q+exists).

DOI kd21w6l0j6/1320362

作者 Xiao Ming XU;Hong Ke DU;Xiao Chun FANG

机构地区不详

出处《数学学报：英文版》 2014年4期

关键词界线性算子希尔伯特空间充分必要条件算子代数有界

分类 [理学][基础数学]

出版日期 2014年04月14日（中国Betway体育网页登陆平台首次上网日期，不代表论文的发表时间）

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数学学报：英文版

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界线性算子希尔伯特空间充分必要条件算子代数有界

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