Measurable operators and the asymptotics of heat kernels and zeta functions

Authors

Alan L. Carey, Australian National UniversityFollow
F Sukochev, University of New South Wales

RIS ID

117834

Publication Details

Carey, A. & Sukochev, F. (2012). Measurable operators and the asymptotics of heat kernels and zeta functions. Journal of Functional Analysis, 262 (10), 4582-4599.

Abstract

In this note we answer some questions inspired by the introduction in Connes (1988, 1994) [6,7] of the notion of measurable operators using Dixmier traces. These questions concern the relationship of measurability to the asymptotics of ζ-functions and heat kernels. The answers have remained elusive for some 15 years.