ADDENDUM: LACK OF UNIFORMLY EXPONENTIAL STABILIZATION FOR ISOMETRIC Co-SEMIGROUPS UNDER COMPACT PERTURBATION OF THE GENERATORS IN BANACH SPACES

摘要

Let X be an infinite-dimensional Banach space, {S(t)} t>0 be a Co-semigroup with the generator (A, D(A)) on X, K be a compact operator on X, and {SK(t)}t>o be the Co-semigroup generated by (A + K, D(A)).