C*-algebras associated with some second order differential operators

E Brian Davies; Vladimir Georgescu

arxiv: 1103.3880 · v2 · pith:7OS2MHTLnew · submitted 2011-03-20 · 🧮 math.SP · math-ph· math.MP· math.OA

C*-algebras associated with some second order differential operators

E Brian Davies , Vladimir Georgescu This is my paper

classification 🧮 math.SP math-phmath.MPmath.OA

keywords algebrasdifferentialordersecondactingaffiliatedassociatedbeen

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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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C*-algebras associated with some second order differential operators

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