On the smooth Feshbach-Schur map

摘要

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 (chi) over bar. (C) 2008 Elsevier Inc. All rights reserved.