Cl'ement Coine

activity

20152026

collaborators

10 papers

math.FA2026

Schur tests and estimates for positive semigroups on non commutative $L_{p}$

Clément Coine, Mélina Laforge, Éric Ricard

We extend the recent results of Arnold on estimates for Kreiss positive semigroups on $L_{p}$ -spaces to the non commutative setting, $1 < p < \infty$ . We also provide a sharp example. Al…

math.OA2026

Noncommutative $L_{p}$ -differentiability and trace formulae

Arup Chattopadhyay, Clément Coine, Saikat Giri +1

Let $M$ be a semifinite von Neumann algebra equipped with a normal faithful semifinite trace $τ$ , and let $L_{p} (M)$ denote the associated noncommutative $L_{p}$ -sp…

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…

math.FA2019

Perturbation theory and higher order $S^{p}$ -differentiability of operator functions

Clément Coine

We establish, for $1 < p < \infty$ , higher order $S^{p}$ -differentiability results of the function $φ : t \in R \mapsto f (A + t K) - f (A)$ for selfadjoint operators $A$ …

math.FA2017

Higher order $\Sc^2$-differentiability and application to Koplienko trace formula

Clément Coine, Christian Le Merdy, Anna Skripka +1

Let $A$ be a selfadjoint operator in a separable Hilbert space, $K$ a selfadjoint Hilbert-Schmidt operator, and $f \in C^{n} (R)$ . We establish that $φ (t) = f (A + t K) - f (A)$ is $n$ …

math.FA2017

When do triple operator integrals take value in the trace class?

Clément Coine, Christian Le Merdy, Fedor Sukochev

Consider three normal operators $A, B, C$ on separable Hilbert space $\H$ as well as scalar-valued spectral measures $λ_{A}$ on $σ (A)$ , $λ_{B}$ on $σ (B)$ and $λ_{C}$ on $σ (C)$ . For any $ϕ\…

math.FA2017

Schur multipliers on $B (L^{p}, L^{q})$

Clément Coine

Let $(Ω_{1}, F_{1}, μ_{1})$ and $(Ω_{2}, F_{2}, μ_{2})$ be two measure spaces and let $1 \leq p, q \leq + \infty$ . We give a definition of Schur multipliers on $\mathcal{B}(L…

math.FA2015

Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case

Clément Coine, Christian Le Merdy, Denis Potapov +2

We prove the existence of a complex valued $C^{2}$ -function on the unit circle, a unitary operator U and a self-adjoint operator Z in the Hilbert-Schmidt class $S^{2}$ , such that the p…

math.FA2015

Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae

Clément Coine, Christian Le Merdy, Denis Potapov +2

A formula for the norm of a bilinear Schur multiplier acting from the Cartesian product $S^{2} \times S^{2}$ of two copies of the Hilbert-Schmidt classes into the trac…

Schur tests and estimates for positive semigroups on non commutative Lp​

Noncommutative Lp​-differentiability and trace formulae

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

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

Perturbation theory and higher order Sp-differentiability of operator functions

Higher order $\Sc^2$-differentiability and application to Koplienko trace formula

When do triple operator integrals take value in the trace class?

Schur multipliers on B(Lp,Lq)

Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case

Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae

Schur tests and estimates for positive semigroups on non commutative $L_{p}$

Noncommutative $L_{p}$ -differentiability and trace formulae

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

Perturbation theory and higher order $S^{p}$ -differentiability of operator functions

Schur multipliers on $B (L^{p}, L^{q})$