# 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} }

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 $H^2({\Bbb D})$.

## 30 Citations

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