PROPERTIES OF ALGEBRAICALLY REFLEXIVITY OF SOME ISOMETRY GROUPS

Let X be a first countable and ¾ - compact Hausdorff space, then every 2 ¡ local (surjective linear) isometry of C0(X) is a (surjective linear) isometry. Furthermore isometry groups of any extension of the C¤- algebra C(H) of all compact operators by a separable commutative C¤- algebra is algebraically reflexive.