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The representation theorem of onto isometric mappings between two unit spheres ofl∞-type spaces and the application on isometric extension problem

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Abstract

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.

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Authors and Affiliations

  1. School of Mathematical Sciences and LPMC, Nankai University, 300071, Tianjin, China

    Guanggui Ding

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  1. Guanggui Ding
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Correspondence to Guanggui Ding.

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Ding, G. The representation theorem of onto isometric mappings between two unit spheres ofl∞-type spaces and the application on isometric extension problem. Sci. China Ser. A-Math. 47, 722 (2004). https://doi.org/10.1360/03ys0049

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  • DOI: https://doi.org/10.1360/03ys0049

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