Dixmier traces and residues on weak operator ideals

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

We develop the theory of modulated operators in general principal ideals of compact operators. For Laplacian modulated operators we establish Connes' trace formula in its local Euclidean model and a global version thereof. It expresses Dixmier traces in terms of the vector-valued Wodzicki residue. We demonstrate the applicability of our main results in the context of log-classical pseudo-differential operators, studied by Lesch, and a class of operators naturally appearing in noncommutative geometry.

Detaljer

Författare
Externa organisationer
  • Central South University, China
  • Chalmers Tekniska Högskola
  • Göteborgs universitet
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematisk analys

Nyckelord

Originalspråkengelska
Artikelnummer124045
TidskriftJournal of Mathematical Analysis and Applications
Volym488
Utgåva nummer2
StatusPublished - 2020
PublikationskategoriForskning
Peer review utfördJa
Externt publiceradJa