M. Griesemer, D. Hasler
On the Smooth Feshbach-Schur Map
(156K, pdf-File)

ABSTRACT.  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 $\chib$.