A Counterexample to an F. and M. Riesz-Type Theorem
A Counterexample to an F. and M. Riesz-Type Theorem
A premeasure is a finitely additive complex-valued function $\mu$ defined on the semiring of all connected subsets of ${\mathbf {T}}$, continuous at $\emptyset$ and with $\mu (\emptyset ) = \mu ({\mathbf {T}}) = 0$. Let $\kappa$ be a continuous increasing concave function on $[0,2\pi ]$ with $\kappa (0) = 0$. …