A direct approach to Dixmier traces on Lorentz ideals

Alexandr Usachev

doi:10.4064/sm230925-2-8

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A direct approach to Dixmier traces on Lorentz ideals

Volume 277 / 2024

Alexandr Usachev Studia Mathematica 277 (2024), 271-289 MSC: Primary 47B10; Secondary 47B37, 46B45, 46A45 DOI: 10.4064/sm230925-2-8 Published online: 3 October 2024

Abstract

We constructs Dixmier traces on Lorentz ideals via direct application of the Hahn–Banach theorem. This extends the direct approach to traces from principal ideals to the larger class of Lorentz ideals.

Authors

Alexandr UsachevSchool of Mathematics and Statistics
Central South University
Changsha, Hunan, 410085, P. R. China
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Publishing house / Journals and Serials / Studia Mathematica / All issues

Studia Mathematica

A direct approach to Dixmier traces on Lorentz ideals

Volume 277 / 2024

Abstract

Authors

Search for IMPAN publications

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