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The representation theorem of onto isometric mappings between two unit spheres of l∞-type spaces and the application on isometric extension problem 被引量:30

The representation theorem of onto isometric mappings between two unit spheres of l∞-type spaces and the application on isometric extension problem
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摘要 In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of real l∞-type spaces, then we conclude that such mappings can be extended to the whole space as (real) linear isometries. In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of reall∞-type spaces, then we conclude that such mappings can be extended to the whole space as (real) linear isometries.
作者 DING Guanggui
出处 《Science China Mathematics》 SCIE 2004年第5期722-729,共8页 中国科学:数学(英文版)
基金 This work was supported by the National Natural Science Foundation of China(Grant No.10271060) the Research Fund for the Doctoral Program of Higher Education(Grant No.20010055013).
关键词 ISOMETRIC mapping ISOMETRIC extension. isometric mapping isometric extension
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