Cl'ement Coine

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20152026

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math.FA2024

Trace formulas for $S^{p}$ -perturbations and extension of Koplienko-Neidhardt trace formulas

Arup Chattopadhyay, Clément Coine, Saikat Giri +1

In this paper, we extend the class of admissible functions for the trace formula of the second order in the self-adjoint, unitary, and contraction cases for a perturbation in the H…

math.FA2024

Functions of unitaries with $S^{p}$ -perturbations for non continuously differentiable functions

Clément Coine

Consider a function $f : T \to C$ , $n$ -times differentiable on $T$ and such that its $n$ th derivative $f^{(n)}$ is bounded but not necessarily continuous…

Trace formulas for Sp-perturbations and extension of Koplienko-Neidhardt trace formulas

Functions of unitaries with Sp-perturbations for non continuously differentiable functions

Trace formulas for $S^{p}$ -perturbations and extension of Koplienko-Neidhardt trace formulas

Functions of unitaries with $S^{p}$ -perturbations for non continuously differentiable functions