Into isometries of C-0(X,E)s

[摘要] Suppose X and Y are locally compact Hausdorff spaces, E and F are Banach spaces, and F is strictly convex. We show that every linear isometry T from C-0(X, E) into C-0(Y, F) is essentially a weighted composition operator Tf(y) = h(y)(f(phi(y))). (C) 1997 Academic Press.

[发布日期] 1997-03-01