On the Smooth Feshbach-Schur Map

M. Griesemer, D. Hasler

Published 2007-04-24Version 1

A new variant of the Feshbach map, called smooth Feshbach map, has been introduced recently by Bach et al., in connection with the renormalization analysis of non-relativistic quantum electrodynamics. We analyze and clarify its algebraic and analytic properties, and we generalize it to non-selfadjoint partition operators $\chi$ and $\chib$.