Hille–Yosida type theorems for local regularized semigroups and local integrated semigroups
Motivated by a great deal of interest recently in operators that may not be densely dened, we deal with regularized semigroups and integrated semigroups that are either not exponentially bounded or not dened on (0;1) and generated by closed operators which may not be densely dened. Some characterizations and related examples are presented. Our results are extensions of the corresponding results produced by other authors.