# Math Help - inner product space question

1. ## inner product space question

If T is a linear operator on an inner product space V and $U_{1}$=T+T* and $U_{2}$=TT*, how can I show that $U_{1}=U_{1}^*$ and $U_{2}=U_{2}^*$?

2. Originally Posted by dannyboycurtis
If T is a linear operator on an inner product space V and $U_{1}$=T+T* and $U_{2}$=TT*, how can I show that $U_{1}=U_{1}^*$ and $U_{2}=U_{2}^*$?
since $(T^*)^*=T,$ we have: $====.$ the proof for $U_1$ is the same.