Source: wikibot/resolvent-set
= Resolvent set
{wiki=Resolvent_set}
In functional analysis and operator theory, the **resolvent set** of a linear operator \\( A \\) is a key concept related to the spectral properties of the operator. Specifically, if \\( A \\) is a linear operator defined on a Banach space or Hilbert space, the resolvent set is related to the concept of resolvents and the spectrum of \\( A \\).