Category:Symmetric Densely-Defined Linear Operators

This category contains results about Symmetric Densely-Defined Linear Operators.
Definitions specific to this category can be found in Definitions/Symmetric Densely-Defined Linear Operators.

Let $\struct {\HH, \innerprod \cdot \cdot}$ be a Hilbert space.

Let $\struct {\map D T, T}$ be a densely-defined linear operator.

We say that $\struct {\map D T, T}$ is symmetric if and only if:

$\innerprod {T x} y = \innerprod x {T y}$ for all $x, y \in \map D T$.