Source: wikibot/gelfand-naimark-segal-construction

= Gelfand–Naimark–Segal construction
{wiki=Gelfand–Naimark–Segal_construction}

The Gelfand–Naimark–Segal (GNS) construction is a fundamental technique in functional analysis and mathematical physics, particularly in the field of operator algebras and quantum mechanics. It provides a way to construct a representation of a *-algebra from a positive linear functional defined on that algebra.