Special Session 30: Discrete dynamics and applications
Contents
In this talk we will consider orbits of compact linear operators in a real Banach space. It will be shown that if the orbit is nonnegative with respect to the partial ordering induced by a given cone then its local spectral radius is an eigenvalue of the operator with a positive eigenvector. The result can be extended to certain nonhomogeneous linear difference equations in a Banach space.