PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
June 3, 2026Mathematische Nachrichten0 citations

Trace Formulas in Higher Dimensions

View Full Paper
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.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Chattopadhyay et al. (2026) studied this question.

synapsesocial.com/papers/6a1fc756dee9eb8c0dce8278https://doi.org/10.1002/mana.70170
Ask AI
Helpful
Bookmark
Share
View Full Paper

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Perturbation Formulas for Traces on Normed Ideals2013 · 10 citations
  2. 2The Krein Spectral Shift Function in Semifinite von Neumann Algebras2006 · 23 citations
  3. 3Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators2002 · 129 citations
  4. 4A Joint spectral theorem for unbounded normal opertors1983 · 6 citations
  5. 5Symmetric Functionals and Singular Traces1998 · 63 citations