Lumer–Phillips theorem
= Lumer–Phillips theorem
{wiki=Lumer–Phillips_theorem}
The Lumer–Phillips theorem is a result in functional analysis, particularly within the context of operator theory. It provides conditions under which a linear operator generates a strongly continuous one-parameter semigroup (also known as a strongly continuous semigroup of operators) on a Banach space. The theorem is named after the mathematicians Fredric Lumer and William Phillips, who contributed to its development.