Информативность функционалов

Анотація

We introduce the concept of informativeness of a continuous functional given on a metric space $X$ with respect to a set $\mathfrak{M} \subset X$ and a metric $\rho _X$. The problem of finding a functional with the greatest informaiveness is stated. For some sets of continuous functions, this problem is solved by reducing to a subset of functional given by a value of a function at a point.