If L is the infinitesimal generator of the semigroup associated with the Dirichlet form E, show that    Show that if   then a R af converges to f with respect to the norm induced by E 1 . Show that if...

If L is the infinitesimal generator of the semigroup associated with the Dirichlet form E, show that

Show that if
  then a R_af
converges to f with respect to the norm induced by E₁.

Show that if
  then
  is a dense subset of D(E) with respect to the norm induced by E₁.