Work

Trace Formulas in Higher Dimensions

Year: 2026

Type: article

Abstract: 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 nonanalytic scalar functions. Results are illustrated with examples.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.70170

Authors: Arup Chattopadhyay, Saikat Giri, Chandan Pradhan, Alexandr Usachev

Institutions: Indian Institute of Technology Guwahati, Indian Institute of Science Bangalore, Central South University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green