Naslov
Admissibility for exponential dichotomies in average

Autori
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia

Izvornik
Stochastics and dynamics (0219-4937) 15 (2015), 3; 1550014, 16

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
admissibility ; exponential dichotomies in average ; robustness

Sažetak
We characterize completely the notion of an exponential dichotomy in average in terms of an admissibility property. The notion corresponds to a generalization of that of an exponential dichotomy to measurable cocycles acting on $L^1$ functions with respect to a given probability measure. The admissibility property is described in terms of the injectivity and surjectivity of a certain linear operator in the space of bounded sequences of $L^1$ functions. The characterization is then used to establish in a simple manner the robustness of the notion, in the sense that it persists under sufficiently small linear perturbations. We note that we consider both $\Z$-cocycles and $\N$-cocycles.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA