Category:Definitions/Hermitian Operators

This category contains results about Definitions/Hermitian Operators.
Definitions specific to this category can be found in Definitions/Definitions/Hermitian Operators.

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 if and only if:

$\mathbf T = \mathbf T^*$

That is, if and only if it equals its adjoint $\mathbf T^*$.