Measurable operators and the asymptotics of heat kernels and zeta functions
Functional Analysis
2012-01-19 v1
Abstract
In this note we answer some questions inspired by the introduction, by Alain Connes, of the notion of measurable operators using Dixmier traces. These questions concern the relationship of measurability to the asymptotics of functions and heat kernels. The answers have remained elusive for some 15 years.
Keywords
Cite
@article{arxiv.1201.3661,
title = {Measurable operators and the asymptotics of heat kernels and zeta functions},
author = {Alan Carey and Fedor Sukochev},
journal= {arXiv preprint arXiv:1201.3661},
year = {2012}
}