数学物理学报(英文版)
數學物理學報(英文版)
수학물이학보(영문판)
Acta Mathematica Scientia
2003年
2期
192-200
,共9页
Co-isometric operator%invariant subspace%factorization
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 so-lutions of the algebraic Riccati equation X2 - iDX + iXD + D2 - C2 = 0, and gives allpossible co-isometric solutions parametrically. Some mistakes of Dobovivsek's results arecorrected.