Abstract
In this paper, we .rst derive the representation theorem of onto isometric mappings in the unit spheres of l 1(Γ) type spaces, and then conclude that such mappings can be extended to the whole space as real linear isometries by using a previous result of the author.
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The project is supported by National Science Foundation of China (19971046) and the Doctoral Programme Foundation of Ministry of Education of China
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Ding, G.G. The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l 1(Γ) Type Spaces and The Application to the Isometric Extension Problem. Acta Math Sinica 20, 1089–1094 (2004). https://doi.org/10.1007/s10114-004-0447-7
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DOI: https://doi.org/10.1007/s10114-004-0447-7