Operator theoretic properties of differences of semigroups in terms of their generators

Blunck, Soenke
Weis, Lutz

facul_01; 32

Abstract:
Let A be an operator ideal such as the trace class,
the Hilbert-Schmidt operators or one of their generalizatons
to the Banach space setting. We show the equivalence of
morn estimates for semigroup differences and for the
corresponding resolvent differences with respect to such
operator ideal norms. Then we apply this to the perturbation
theory of semigroups and to Schrodinger operators.