Estimating Dixmier traces of Hankel operators in Lorentz ideals

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Abstract

In this paper we study Dixmier traces of powers of Hankel operators in Lorentz ideals. We extend results of Engliš-Zhang to the case of powers p ≥1 and general Lorentz ideals starting from abstract extrapolation results of Gayral-Sukochev. In the special case p =2, 4, 6 we give an exact formula for the Dixmier trace. For general p, we give upper and lower bounds on the Dixmier trace. We also construct, for any pand any Lorentz ideal, examples of non-measurable Hankel operators.

Detaljer

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

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematisk analys

Nyckelord

Originalspråkengelska
Artikelnummer108688
TidskriftJournal of Functional Analysis
Volym279
Utgåva nummer7
StatusPublished - 2020
PublikationskategoriForskning
Peer review utfördJa
Externt publiceradJa