On Perturbation of Convoluted C-Regularized Operator Families

Abstract EN

Of concern are two classes of convoluted C-regularized operator families: convoluted C-cosine operator families and convoluted C-semigroups.

We obtain new and general multiplicative and additive perturbation theorems for these convoluted C-regularized operator families.

Two examples are given to illustrate our abstract results.