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June 3, 2026Mathematische Nachrichten0 citations

Trace Formulas in Higher Dimensions

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ACArup ChattopadhyaySGSaikat GiriCPChandan Pradhan

Key Points

  • The study aims to establish trace formulas for multivariable operator functions within symmetrically normed ideals.
  • Developed Krein and Koplienko trace formulas for bounded operators.
  • Analyzed results for self-adjoint and maximal dissipative operators.
  • Considered admissible function classes including both analytic and nonanalytic scalar functions.
  • Established trace formulas for ideals with normal and singular traces.
  • Illustrated results with specific examples showing the applicability of the formulas.

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.

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Cite This Study

Chattopadhyay et al. (2026) studied this question.

synapsesocial.com/papers/6a1fc756dee9eb8c0dce8278https://doi.org/10.1002/mana.70170
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