Bessa, MárioCarvalho, Maria2023-05-302023-05-302011M. Bessa, M. Carvalho, On the Lyapunov spectrum of infinite dimensional random products of compact operators, Stochastics and Dynamics, 8, 4, 593-611, 2011http://hdl.handle.net/10400.2/13902We consider an infinite dimensional separable Hilbert space and its family of compact integrable cocycles over a dynamical system f. Assuming that f acts in a compact Hausdorff space X and preserves a Borel regular ergodic probability which is positive on non-empty open sets, we conclude that there is a C0-residual subset of cocycles within which, for almost every x, either the Oseledets–Ruelle’s decomposition along the orbit of x is dominated or all the Lyapunov exponents are equal to −∞.engRandom operatorsDominated splittingMultiplicative ergodic theoremLyapunov exponentsjournal article10.1142/S0219493708002470