| 广义n幂等与超广义n幂等算子 |
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| 引用本文： | 邓春源,李启慧,杜鸿科.广义n幂等与超广义n幂等算子[J].东北数学,2006,22(4):387-394. |
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| 作者姓名： | 邓春源 李启慧 杜鸿科 |
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| 作者单位： | College of Mathematics and Information Science Shaanxi Normal University，Xi'an，710062 School of Mathematics Science，South China Normal University，Guangzhou，510631，College of Mathematics and Information Science，Shaanxi Normal University，Xi'an，710062，College of Mathematics and Information Science，Shaanxi Normal University，Xi'an，710062 |
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| 基金项目： | The NNSF(10571113)of Shaanxi Province,Chins. |
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| 摘 要： | For an integer n≥2,we say that an operator A is an n-idempotent ifA~n=A;A is a generalized n-idempotent if A~n=A~*;A is a hyper-generalized n-iclempotent if A~n=A~ .The set of all n-idempotents,all generalized n-idempotentsand all hyper-generalized n-idempotents are denoted by I_n(H),GI_n(H)andHGI_n(H),respectively.In this note,we obtain a chain of proper inclusionsGI_n(H)HGI_n(H)I_(n 2)(H).
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| 关 键 词： | 广义n-幂等 广义逆 正规算子 Hilbert空间 |
Generalized n-idempotents and Hyper-generalized n-idempotents |
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| DENG Chun-yuan,LI Qi-hui,DU Hong-ke.Generalized n-idempotents and Hyper-generalized n-idempotents[J].Northeastern Mathematical Journal,2006,22(4):387-394. |
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| Authors: | DENG Chun-yuan LI Qi-hui DU Hong-ke |
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| Abstract: | |
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| Keywords: | idempotent generalized inverse normal operator |
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