C*-algebras associated with some second order differential operators

2011/03/20 by Davies, E Brian, Georgescu, Vladimir
#35P05 #46Lxx #47Bxx #81Q10 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1103.3880

Abstract

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 L²(R^N), which is affiliated with one or both of the algebras depending on the behaviour of the coefficients.

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