A note on the Huijsmans-de Pagter problem on finite dimensional ordered vector spaces

Catalin Badea, Jochen Glück

A classical problem posed in 1992 by Huijsmans and de Pagter asks whether, for every positive operator $T$ on a Banach lattice with spectrum $\ddot{I}ƒ(T)=\{1\}$, the inequality $T \ge…