Measurable operators and the asymptotics of heat kernels and zeta functions

Alan Carey*, Fedor Sukochev

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)4582-4599
    Number of pages18
    JournalJournal of Functional Analysis
    Volume262
    Issue number10
    DOIs
    Publication statusPublished - 15 May 2012

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