The functional calculus approach
Tobias Nau · 2012
This chapter extends the results from Chapter 8 in two directions. Firstly, domains given as the Cartesian product of finitely many standard domains are considered. Secondly, with a Banach space F , the cylindrical boundary value problems are F -valued and contain L ( F )-valued coefficients. Here we employ the operator-valued Dunford calculus and the Kalton-Weis-Theorem. Again we first consider rather arbitrary cylindrical boundary value problems and focus on the Laplacian at the end. The results of this chapter also appear in [NS11a]. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.