On the best constants of Schur multipliers of second order divided
difference functions
On the best constants of Schur multipliers of second order divided
difference functions
We give a new proof of the boundedness of bilinear Schur multipliers of second order divided difference functions, as obtained earlier by Potapov, Skripka and Sukochev in their proof of Koplienko's conjecture on the existence of higher order spectral shift functions. Our proof is based on recent methods involving bilinear …