On the continuity of spectra for families of magnetic pseudodifferential operators

Nassim Athmouni, Marius Mantoiu, Radu Purice

Published 2009-12-03, updated 2010-06-23Version 2

For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter $\epsilon$, we show that the corresponding family of spectra also varies continuously with $\epsilon$.