C*-algebras associated with some second order differential operators
Spectral Theory
2012-01-12 v2 Mathematical Physics
math.MP
Operator Algebras
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 L^2(R^N), which is affiliated with one or both of the algebras depending on the behaviour of the coefficients.
Cite
@article{arxiv.1103.3880,
title = {C*-algebras associated with some second order differential operators},
author = {E Brian Davies and Vladimir Georgescu},
journal= {arXiv preprint arXiv:1103.3880},
year = {2012}
}
Comments
16 pages, second and final version. Key words: spectral analysis, essential spectrum, C*-algebras, elliptic differential operators