Radon–Riesz property
= Radon–Riesz property
{wiki=Radon–Riesz_property}
The Radon–Riesz property is a concept from functional analysis, particularly in the study of Banach spaces. It concerns the behavior of sequences of functions and their convergence properties. A Banach space \\( X \\) is said to have the Radon–Riesz property if every sequence of elements \\( (x_n) \\) in \\( X \\) that converges weakly to an element \\( x \\) also converges strongly (or in norm) to \\( x \\).