### Bounded cohomology and isometry groups of hyperbolic spaces

Let $X$ be an arbitrary hyperbolic geodesic metric space and let $\Gamma $ be a countable subgroup of the isometry group $\mathrm{Iso}\left(X\right)$ of $X$. We show that if $\Gamma $ is non-elementary and weakly acylindrical (this is a weak properness condition) then the second bounded cohomology groups ${H}_{b}^{2}(\Gamma ,\mathbb{R})$, ${H}_{b}^{2}(\Gamma ,{\ell}^{p}\left(\Gamma \right))$$(1<...$