ABSTRACT
We present necessary and sufficient conditions in the spirit of Rolewicz under which all Lyapunov exponents of a given linear cocycle are either positive or negative. As a consequence, we formulate new conditions for the existence of the so-called tempered exponential dichotomies. We consider cocycles over both maps and flows.
2010 MATHEMATICS SUBJECT CLASSIFICATIONS:
Disclosure statement
No potential conflict of interest was reported by the authors.