Weierstrass functions separate all traces
type: Item
instance of: scholarly article
title: Weierstrass functions separate all traces
zbMATH Open document ID: 1490.46063
DOI: 10.1134/S000143462111016X
author: Magnus Goffeng
author: Alexandr Usachev
published in: Mathematical Notes
publication date: 2022-01-11T00:00:00Z
review text: In this note, the authors generalize a result of [\textit{H.~Gimperlein} and \textit{M.~Goffeng}, Forum Math. Sigma 5, Paper No.~e3, 57~p. (2017; Zbl 1471.58007)] to the case of all traces on the weak \(L_1\)-ideal \(\mathscr{L}_{1,\infty}\). As a corollary, they show that the class of operators related to the quantum differentials of Weierstrass functions is large enough to separate all traces on the ideal \(\mathscr{L}_{1,\infty}\).
reviewed by: Jinghao Huang
Mathematics Subject Classification ID: 46L52
Mathematics Subject Classification ID: 46L30
Mathematics Subject Classification ID: 47L20
zbMATH DE Number: 7455558
zbMATH Keywords: singular traces
zbMATH Keywords: Weierstrass functions
zbMATH Keywords: commutators
MaRDI profile type: Publication
cites work: Q4310044
cites work: NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS
cites work: Banach limits and traces on \(\mathcal{L}_{1, \infty}\)
cites work: Traces and Shift Invariant Functionals
cites work: Traces on operator ideals and related linear forms on sequence ideals. I
full work available at URL: s000143462111016x
OpenAlex ID: W4200556778
description: scientific article; zbMATH DE number 7455558