On the structure of the essential spectrum of elliptic operators on metric spaces

Details On the structure of the essential spectrum of elliptic operators on metric spaces On the structure of the essential spectrum of elliptic operators on metric spaces

2010-03-17

arxiv.org/abs/1003.3454v2

Physics

Mathematical Physics

Improved presentation, some new results.

Scientific paper

We give a description of the essential spectrum of a large class of operators
on metric measure spaces in terms of their localizations at infinity. These
operators are analogues of the elliptic operators on Euclidean spaces and our
main result concerns the ideal structure of the $C^*$-algebra generated by
them.

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