Abstract
Suppose that h , k ∈ L ( H ) h, \, k \in \mathcal {L}(\mathcal {H}) are two selfadjoint bounded operators on a Hilbert space H \mathcal {H} . It is elementary to show that h k hk is selfadjoint precisely when h k = k h hk = kh . We answer the following question: Under what circumstances must h k hk be selfadjoint given that it is normal?
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