Characterizations of Hyperbolicity in Difference Equations with Delay.

We characterize the existence of an exponential dichotomy for a difference equation with delay in terms of the invertibility of a certain linear operator between quite general admissible spaces. These include all ℓ p spaces with p ∈ [ 1 , + ∞ ] as well as many other Banach spaces. The characterization requires using special norms that involve the delay. [ABSTRACT FROM AUTHOR]