Some new properties and isometries on the unit spheres of generalized James spaces

This paper concerns the study of generalized James space J p . In this notation J 2 is the well-known James space. We characterize surjective isometries of the unit sphere of J p . As a result, we answer Tingley’s problem affirmatively in J p and generalize Bellenot’s result to J p . Precisely we prove that J p admits only trivial surjective isometries.