The isometric extension of “into” mappings on unit spheres of AL -spaces |
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| Authors: | GuangGui Ding |
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| Institution: | (1) School of Mathematics Science, Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, China |
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| Abstract: | In this paper, we show that if V
0 is an isometric mapping from the unit sphere of an AL-space onto the unit sphere of a Banach space E, then V
0 can be extended to a linear isometry defined on the whole space.
This work was supported by the Research Foundation for Doctor Programme (Grant No. 20060055010) and the National Natural Science
Foundation of China (Grant No. 10571090) |
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| Keywords: | isometric extension (atomic) AL |
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