Source: wikibot/riesz-thorin-theorem
= Riesz–Thorin theorem
{wiki=Riesz–Thorin_theorem}
The Riesz–Thorin theorem is a fundamental result in functional analysis, specifically in the study of interpolation of linear operators between L^p spaces. It provides a powerful method for establishing the boundedness of a linear operator that is bounded on two different L^p spaces, allowing us to extend this boundedness to intermediate spaces.