Source: wikibot/quasinormal-operator
= Quasinormal operator
{wiki=Quasinormal_operator}
In functional analysis and operator theory, a **quasinormal operator** is a type of bounded linear operator on a Hilbert space that generalizes the concept of normal operators. An operator \\( T \\) on a Hilbert space \\( H \\) is called **normal** if it commutes with its adjoint, meaning \\\[ T^* T = T T^*, \\\] where \\( T^* \\) is the adjoint of \\( T \\).