\begin{definition}[Definition:Hermitian Operator]
Let $\HH$ be a Hilbert space.
Let $\mathbf T: \HH \to \HH$ be a bounded linear operator.
Then $\mathbf T$ is said to be '''Hermitian''' {{iff}}:
:$\mathbf T = \mathbf T^*$
That is, {{iff}} it equals its adjoint $\mathbf T^*$.
\end{definition}