Source: wikibot/bounded-inverse-theorem
= Bounded inverse theorem
{wiki=Bounded_inverse_theorem}
The Bounded Inverse Theorem is a result in functional analysis that deals with bounded linear operators between Banach spaces. It provides conditions under which the inverse of a bounded linear operator is also bounded. This theorem is particularly important in the context of linear operators because it helps establish when an operator has a well-defined and continuous (bounded) inverse.