| CO-ISOMETRIC SOLUTIONS OF EQUATION CU + U*C = 2D |
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| 作者姓名： | 杜拴平 侯晋川 |
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| 作者单位： | Department of Mathematics，Shanxi University，Department of Mathematics，Shanxi Teachers University Taiyuan 030000，China Department of Mathematics，Shanxi Teachers University，Linfen 041004，China，Linfen 041004，China |
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| 基金项目： | This work is supported by NNSFC and PNSFS |
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| 摘 要： | This note discusses the co-isometric solutions of the operator equation CU + U*C = 2D, establishes a correspondence between such solutions and the self-adjoint solutions of the algebraic Riccati equation X2 - iDX + iXD + D2 - C2 = 0, and gives all possible co-isometric solutions parametrically. Some mistakes of Dobovivsek's results are corrected.
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| 收稿时间： | 26 February 2001 |
CO-ISOMETRIC SOLUTIONS OF EQUATION CU + U*C ＝ 2D |
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| Du Shuanping.CO-ISOMETRIC SOLUTIONS OF EQUATION CU + U*C = 2D[J].Acta Mathematica Scientia,2003,23(2):192-200. |
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| Authors: | Du Shuanping |
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| Institution: | Du Shuanping
Department of Mathematics,Shanxi University,Taiyuan 030000,China Department of Mathematics,Shanxi Teachers University,Linfen 041004,China
Hou Jinchuan Department of Mathematics,Shanxi Teachers University,Linfen 041004,China |
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| Abstract: | This note discusses the co-isometric solutions of the operator equation CU + U*C = 2D, establishes a correspondence between such solutions and the self-adjoint solutions of the algebraic Riccati equation X2 - iDX + iXD + D2 - C2 = 0, and gives all possible co-isometric solutions parametrically. Some mistakes of Dobovivsek's results are corrected. |
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| Keywords: | Co-isometric operator invariant subspace factorization |
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