A generalization of Frenkel's formula

TL;DR

This paper extends Frenkel's integral formula for traces to a broader class of operators, including bounded self-adjoint positive and p-Schatten class compact operators, enhancing its applicability in operator theory.

Contribution

It generalizes Frenkel's formula to new classes of operators, broadening the scope of trace formulas in functional analysis.

Findings

Extended trace formula to bounded self-adjoint positive operators.

Generalized formula applies to p-Schatten class compact operators.

Provides a unified framework for operator trace calculations.

Abstract

We generalize Frenkel's integral formula for traces of operators to operators. The resulting formula holds for bounded self-adjoint positive operators and $p$-Schatten class of compact positive operators.