Cl'ement Coine

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20152026

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Showing 2017Show all

3 papers · 1 filter

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…

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)

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