Let $\ m_T(x)=\prod p_i(x)^{m_i}$ be the minimal polynomial of an operator $T$ and $\ p_T(x)=\prod p_i(x)^{h_i}$ the characteristic polynomial.
Let $ V_i= \operatorname{Ker}{(p_i(x))^{h_i}} $
I don't understand why $\dim V_i = \deg\,(p_i)*h_i$
Thanks.