Bessa, MárioCarvalho, Glória Ferreira2023-05-252023-05-252019M. Bessa, G. Carvalho, The Lyapunov exponents of generic skew-product compact semiflows, Journal of Evolution Equations, 19, 2, 387-409, 2019http://hdl.handle.net/10400.2/13846Let F_K denote the set of infinite-dimensional cocycles over a μ-ergodic flow φ^t : M → M and with fiber dynamics given by a compact semiflow on a Hilbert space. We prove that there exists a residual subset R of F_K such that for 􏰤 φ ∈ R and for μ-almost every x ∈ M, either: (i) the limit operator lim (φ^t(x)^*φ^t(x))^(1/2t) when t→∞ is the null operator or else (ii) the Oseledets–Ruelle splitting of 􏰤 along the φ^t -orbit of x has a dominated splitting.engjournal article10.1007/s00028-019-00479-8