Let $V$ inner product space from finite dimension under $\mathbb C$ and $T: V\to V$ linear transformation so that $$T^2=\frac{T+T^*}{2}.$$
I proved that is normal and I need also to prove that $T^2-T=0$.
I'd love your help with this.
Thanks!
Let $V$ inner product space from finite dimension under $\mathbb C$ and $T: V\to V$ linear transformation so that $$T^2=\frac{T+T^*}{2}.$$
I proved that is normal and I need also to prove that $T^2-T=0$.
I'd love your help with this.
Thanks!