Let $X$ a dual Bancah space (there exists a Banach space $Y$ such that $X=Y'$). A weak* semigroup on $X$ is a semigroup $(T_t)_{\geq 0}$ on $X$ such that, for all $x\in X$, we have $T_tx\xrightarrow[t \to 0^+]{}x$ in the weak* topology.

I know a lot of books about $C_0$-semigroups but not about weak* semigroups.

Do you know a good place to read about weak* semigroups and their generators? A book would Be perfect.