On the continuity of spectra for families of magnetic pseudodifferential operators

Details On the continuity of spectra for families of magnetic pseudodifferential operators On the continuity of spectra for families of magnetic pseudodifferential operators

2009-12-03

arxiv.org/abs/0912.0652v2

Mathematics

Functional Analysis

22 pages

Scientific paper

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
$\epsilon$.

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