Overview
Let T ∈ L(V ) be an isometry on a finite-dimensional complex inner product space, and assume that U is a T-invariant subspace of V . Prove that T(U) = U, and that U⊥ is T-invariant.
Mathematics · Studypool
Mathematics · Studypool
Let T ∈ L(V ) be an isometry on a finite-dimensional complex inner product space, and assume that U is a T-invariant subspace of V . Prove that T(U) = U, and that U⊥ is T-invariant.