Geodesic
On polynomials in two projections
The electronic journal of linear algebra, Tome 15 (2006), pp. 154-158.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Conditions are established on a polynomial f in two variables under which the equality $f(P1, P2) = 0$ for two orthogonal projections P1, P2 is possible only if P1 and P2 commute.
Classification : 15A24, 47A05
Keywords: orthogonal projections, polynomial equations 
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     author = {Spitkovsky, Ilya M.},
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Spitkovsky, Ilya M. On polynomials in two projections. The electronic journal of linear algebra, Tome 15 (2006), pp. 154-158. http://geodesic.mathdoc.fr/item/ELA_2006__15__a17/