Essential spectrum
In mathematics, the essential spectrum of a bounded operator (or, more generally, of a densely defined closed linear operator) is a certain subset of its spectrum, defined by a condition of the type that says, roughly speaking, "fails badly to be invertible". == Of self-adjoint operators == In formal terms, let X {\displaystyle X} be a Hilbert space and let T {\displaystyle T} be a self-adjoint operator on X {\displaystyle X} .