The isometric extension of “into” mappings on unit spheres of AL-spaces  

作　　者：DING GuangGui School of Mathematics Science, Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China 

出　　处：《Science China Mathematics》2008年第10期1904-1918,共15页中国科学：数学（英文版）

基　　金：the Research Foundation for Doctor Programme (Grant No. 20060055010) ;the National Natural Science Foundation of China (Grant No. 10571090)

摘　　要：In this paper, we show that if V0 is an isometric mapping from the unit sphere of an AL-space onto the unit sphere of a Banach space E, then V0 can be extended to a linear isometry defined on the whole space.In this paper, we show that if V0 is an isometric mapping from the unit sphere of an AL-space onto the unit sphere of a Banach space E, then V0 can be extended to a linear isometry defined on the whole space.

关 键 词：ISOMETRIC extension (atomic) AL-space 

分 类 号：O177[理学—数学]