On algebraic reflexivity of sets of surjective isometries between spaces of weak⁎ continuous functions

We establish the algebraic reflexivity of sets of surjective isometries between Banach spaces of weak⁎ or weakly continuous functions. We also derive some results on the algebraic structure of the isometry group of WC⁎(X,E⁎)WC⁎(X,E⁎).