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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 -function on the unit circle, a unitary operator U and a self-adjoint operator Z in the Hilbert-Schmidt class , 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 of two copies of the Hilbert-Schmidt classes into the trac…
math.FA2015
Operator Lipschitz functions on Banach spaces
Jan Rozendaal, Fedor Sukochev, Anna Tomskova
Let , be Banach spaces and let be the space of bounded linear operators from to . We develop the theory of double operator integrals on $\mathcal{L…