The projection constant for the trace class
Andreas Defant, Daniel Galicer, Martin Mansilla, Mieczysław Mastyło, Santiago Muro · Analysis & PDE · 2025
We study the projection constant of the space of operators on n-dimensional Hilbert spaces with the trace norm S 1 (n).We show an integral formula for the projection constant ofwhere the integration is with respect to the Haar probability measure on the group U n of unitary operators.Using a probabilistic approach, we derive the limit formulaThe research of Mastyło was supported by the National Science Centre (NCN), Poland, grant no.2019/33/B/ST1/00165.Galicer, Mansilla and Muro were supported by CONICET-PIP 11220200102336 and PICT 2018-4250.The research of