Source: /cirosantilli/linear-operator

= Linear operator
{wiki}

= Operator
{synonym}

We define it as a <linear map> where the <domain (function)> is the same as the <image (mathematics)>, i.e. an <endofunction>.

Examples:
* a 2x2 matrix can represent a <linear map> from <\R^2> to <\R^2>, so which is a linear operator
* the <derivative> is a <linear map> from <C^{\infty}> to <C^{\infty}>, so which is also a linear operator