operadors ortogonals autoadjunts

F(P(x)) [o] G(P(x)) = 0
(-1)·F(P(x)) [o] G(P(x)) = 0
F(P(x)) [o] (-1)·G(P(x)) = 0
(-1)·F(P(x)) [o] (-1)·G(P(x)) = 0


F(ax^{2}+bx) = 2ax+b
G(ax^{2}+bx) = (-1)( 1/(2a) )·x+(1/b)


F(ax^{3}+bx^{2}+cx) = 3ax^{2}+2bx+c
G(ax^{3}+bx^{2}+cx) = (-1)( 1/(3a) )·x^{2}+(-1)( 1/(2b) )·x+(2/c)


F(ax^{2}+bx+c) = (a/3)x^{3}+(b/2)x^{2}+cx
G(ax^{2}+bx+c) = (-1)( 3/a )·x^{3}+(-1)( 2/b )·x^{2}+(2/c)·x