June 11th, 2018, 05:07 PM  #1 
Newbie Joined: Jun 2018 From: Brazil Posts: 1 Thanks: 0  Invariant Subspaces
Let P be the (hermitian) projection operator onto a subspace M. Show that 1 − P projects onto M⊥. Hint: You need to show that <mPa> = <ma> for arbitrary a> ∈ V and m> ∈ M; therefore, consider (<mPa>)∗, and use the hermiticity of P. 

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