ISOMETRIES BETWEEN THE UNIT SPHERES OF L~(β_γ)ZA-SUM OF STRICTLY CONVEX NORMED SPACES

摘要

In this paper, the author introduces a new F-space the l~(βr)-sum of strictly convex normed spaces, and obtains the representation of onto isometry between the unit spheres, then concludes that such mappings can be extended to the whole space as real linear isometries.