Let Pt be a strongly continuous semigroup of contraction operators and let L be the infinitesimal generator. Show that D(Ln) is dense in B for every positive integer n. This is a continuation of Prove...

Let Pt be a strongly continuous semigroup of contraction operators and let L be the infinitesimal generator. Show that D(Ln) is dense in B for every positive integer n.

This is a continuation of Prove that if
  with compact support, Pt is the semi group given in and L is the infinitesimal generator, then the Fourier transform of

Chapter 38