Abstract
For a nonautonomous dynamics defined by a sequence of linear operators, we consider the notion of an exponential dichotomy with respect to a sequence of norms and we characterize it completely in terms of the admissibility in pairs of spaces (ℓp, ℓq), with p and q not necessarily equal. This includes the notion of a nonuniform exponential dichotomy as a very special case. Moreover, we consider a general noninvertible dynamics and a strong nonuniform exponential behavior. The latter is the typical situation from the point of view of smooth ergodic theory.
Published Online: 2016-03-10
Published in Print: 2014-08-01
© 2016 by Advanced Nonlinear Studies, Inc.
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
