We study the group of surjective linear isometries on certain real Banach sequence spaces using the preservation of extreme points in the closed unit ball. Our main result provides a characterization of the extreme points of the dual unit ball of the James-Schreier space V 1 . As a consequence, we show that the only isometries on V 1 are ± I d . We also obtain a Banach-Stone-type result for Lorentz sequence spaces, analogous to one proved in 13 for Lorentz function spaces.
Brech et al. (Sun,) studied this question.