C*-algebras associated with some second order differential operators

Details C*-algebras associated with some second order differential operators C*-algebras associated with some second order differential operators

2011-03-20

arxiv.org/abs/1103.3880v2

Mathematics

Spectral Theory

16 pages, second and final version. Key words: spectral analysis, essential spectrum, C*-algebras, elliptic differential opera

Scientific paper

We compare two C*-algebras that have been used to study the essential
spectrum. This is done by considering a simple second order elliptic
differential operator acting in L^2(R^N), which is affiliated with one or both
of the algebras depending on the behaviour of the coefficients.

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