Finsler geometry and actions of the p-Schatten unitary groups

Esteban Andruchow, Gabriel Larotonda, Lazaro Recht

Let $p$ be an even positive integer and $U_p(H)$ be the Banach-Lie group of unitary operators $u$ which verify that $u-1$ belongs to the $p$-Schatten ideal $B_p(H)$. Let $\mathcal{O}$…