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Continuity of Dirac Spectra

URN to cite this document:
urn:nbn:de:bvb:355-epub-289023
DOI to cite this document:
10.5283/epub.28902
Nowaczyk, Nikolai
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Date of publication of this fulltext: 14 Oct 2013 08:10


Abstract

It is a well-known fact that on a bounded spectral interval the Dirac spectrum can described locally by a non-decreasing sequence of continuous functions of the Riemannian metric. In the present article we extend this result to a global version. We think of the spectrum of a Dirac operator as a function Z ! R and endow the space of all spectra with an arsinh-uniform metric. We prove that ...

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