b^(2)空间及b^(2)空间上的等距映射

b^(2) Space and Isometries on b^(2) Spaces

等距映射在空间结构的研究中起着很重要的作用,是泛函分析研究的有利工具.本文将介绍一类特殊的F空间,b^(2)空间,然后给出该空间单位球面间满等距映射的表现定理,进而得出b^(2)空间单位球面上满等距映射的线性延拓结论.

Isometry is a significant subject in the study of the structure of space. In this paper, we will introduce a special F-space,b^(2) space, and give the representation theorem for the onto isometric mapping on the unit spheres of the b^(2) spaces, then we solved the Tingley’s problem on b2 space.