# On the Riccati equations

@article{Karaev2008OnTR,
title={On the Riccati equations},
author={Mubariz T. Karaev},
journal={Monatshefte f{\"u}r Mathematik},
year={2008},
volume={155},
pages={161-166}
}
• M. Karaev
• Published 21 May 2008
• Mathematics
• Monatshefte für Mathematik
Abstract.In this article we give, in terms of so-called Berezin symbols, some necessary conditions for the solvability of the Riccati equation $$XAX+XB-CX-D=0$$ on the set ${\cal T}$ of all Toeplitz operators on the Hardy space $H^2({\Bbb D})$.
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