Linear isometries between certain subspaces of continuous vector-valued functions
Juan José Font · Illinois Journal of Mathematics · 1998
JUAN J. FONT co(y)(f (p(y))), for all f C(X, E) and all y Y, where co is a continuous map from Y into the space of linear isometries from E onto E endowed with the strong operator topology.Furthermore, p is a homeomorphism of Y onto X.As in the scalar-valued case, Jerison's results have been extended in many directions (e.g., see [.3] or [4]).Among them and in [6], M. Cambern obtained a formulation of Holsztyriski's theorem for spaces ofcontinuous vector-valued functions.