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arXiv · 0912.0652

On the continuity of spectra for families of magnetic pseudodifferential operators

Nassim Athmouni·Marius Mantoiu·Radu Purice
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Abstract

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

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Nassim Athmouni, Marius Mantoiu, Radu Purice. 2010-06-23. On the continuity of spectra for families of magnetic pseudodifferential operators. https://doi.org/10.1063/1.3470118

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