Analytic measures and Bochner measurability

N. Asmar, Stephen J. Montgomery-Smith

Let $\Sigma$ be a $\sigma$-algebra over $\Omega$, and let $M(\Sigma )$ denote the Banach space of complex measures. Consider a representation $T_t$ for $t\in \mathbb{R}$ acting on $M(\Sigma )$. We show that under…