THE ISOMETRIC EXTENSION OF AN INTO MAPPING FROM THE UNIT SPHERE S[(Γ)] TO THE UNIT SPHERE S(E)

摘要

This is such a article to consider an "into" isometric mapping between two unitrnspheres of two infinite dimensional spaces of different types. In this article, we find a usefulrncondition (using the Krein-Milman property) under which an into-isometric mapping fromrnthe unit sphere of e(Γ) to the unit sphere of a norined space E can be linearly isometricrnextended.