Trace formulas in higher dimensions
Functional Analysis
2026-05-18 v6
Abstract
The paper establishes the Krein and Koplienko trace formulas for multivariable operator functions on symmetrically normed ideals of bounded operators. Results are proved for self-adjoint and maximal dissipative operators. They cover both ideals with normal and singular traces. The admissible function classes considered in the trace formulas include both analytic and non-analytic scalar functions. Results are illustrated with examples.
Cite
@article{arxiv.2303.13298,
title = {Trace formulas in higher dimensions},
author = {Arup Chattopadhyay and Saikat Giri and Chandan Pradhan and Alexandr Usachev},
journal= {arXiv preprint arXiv:2303.13298},
year = {2026}
}
Comments
Revised following the referee's report; accepted for publication in Mathematische Nachrichten