Geodesic
Jordan form of the difference of projectors
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 3, pp. 375-390
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The Jordan canonical form of the difference of projectors $P-Q$ for the eigenvalues $\lambda\ne- 1, 0, 1$ is proved to be made up of pairs of Jordan blocks; i.e., if there are several blocks $J_k(\lambda)$, then there are exactly the same number of blocks $J_k(-\lambda)$. For a block $J_k(\pm1)$ with $k>1$, there is necessarily a pair block $J_l(\mp1)$, where $|k-l|<1$. 
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A. M. Vetoshkin. Jordan form of the difference of projectors. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 3, pp. 375-390. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_3_a1/

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