Densely defined operator
= Densely defined operator
{wiki=Densely_defined_operator}
In functional analysis, a densely defined operator is a linear operator defined on a dense subset of a vector space (usually a Hilbert space or a Banach space). Specifically, if \\( A \\) is an operator acting on a vector space \\( V \\), we say that \\( A \\) is densely defined if its domain \\( \\mathcal\{D\}(A) \\) is a dense subset of \\( V \\).