Normal operator
= Normal operator
{wiki=Normal_operator}
In functional analysis and linear algebra, a **normal operator** is a bounded linear operator \\( T \\) on a Hilbert space that commutes with its adjoint. Specifically, an operator \\( T \\) is said to be normal if it satisfies the condition: \\\[ T^* T = T T^* \\\] where \\( T^* \\) is the adjoint of \\( T \\). \#\#\# Key Properties of Normal Operators 1.