OPERATORS AND MATRICES, cilt.8, sa.4, ss.975-997, 2014 (SCI-Expanded)
Let T be a power bounded operator on a Banach space X and let sigma(T) (x) be the local spectrum of T at x is an element of X. In this paper, we study the asymptotic behavior of the orbits {T(n)x : n >= 0} in terms of the local spectrum of T at x.