Characterizations of Tauberian operators and other semigroups of operators
Characterizations of Tauberian operators and other semigroups of operators
In this paper we present three characterizations of Tauberian operators in terms of: perturbations by compact operators, products with other operators, and restrictions to subspaces. We obtain also analogous characterizations for co-Tauberian operators and for other semigroups of operators related with the Tauberian and co-Tauberian ones.